Simplify the expression 8 − 23 8^{-23} 8 − 2 3

1 8 23 \frac{1}{8^{23}} 8 2 3 1

1 8 − 23 \frac{1}{8^{-23}} 8 − 2 3 1

Choose the correct scientific notation of the following number. 20,000,000,000,000,000

2 × 1 0 16 2\ \times\ 10^{16} 2 × 1 0 1 6

2 × 1 0 15 2\ \times\ 10^{15} 2 × 1 0 1 5

2 × 1 0 17 2\ \times\ 10^{17} 2 × 1 0 1 7

Exonents and power

Authored by Manish Bhardwaj

Mathematics

6th - 8th Grade

CCSS covered

Used 13+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The value of 2^-2 is:

Answer explanation

Explanation: 2^-2 = 1/2² = ¼

Tags

CCSS.7.NS.A.1C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The multiplicative inverse of 7^-2is:

7²

1/7²

1/7

Answer explanation

Explanation: The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
7^-2 = 1/7²
Hence, 7² x 1/7² = 1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

2² x 2³ x 2⁴ is equal to:

2²⁴

2^-5

2⁹

2^-9

Answer explanation

Explanation: By laws of exponents:
a^m x aⁿ = a^m+n
2² x 2³ x 2⁴ = 2²⁺³⁺⁴ = 2⁹

Tags

CCSS.5.NBT.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3^-2 x 3^-5 is equal to:

3^-7

3^-3

3^-10

3⁷

Answer explanation

Explanation: 3^-2 x 3^-5= (1/3²) x (1/3⁵)
= (1/3²⁺⁵)
= (1/3⁷)
= 3^-7

Tags

CCSS.7.NS.A.1D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5⁴/5² is equal to:

5⁶

5^-6

5^-2

5²

Answer explanation

Explanation: By exponent law:
a^m/aⁿ = a^m-n
5⁴/5² = 5^4-2 = 5²

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The value of (3⁴)³ is:

3¹²

3⁷

None of the above

Answer explanation

Explanation: By law of exponent:
(a^m)ⁿ = a^mn
(3⁴)³ = 3^4×3 = 3¹²

Tags

CCSS.6.EE.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3² x 4² is equal to:

121

144

156

Answer explanation

Explanation: By exponent law;
a^m x b^m = (ab)^m
3² x 4² = (3×4)² = 12² = 144

Tags

CCSS.4.NBT.B.5

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Exonents and power

The value of 2^-2 is:

Explanation: 2^-2 = 1/2² = ¼

The multiplicative inverse of 7^-2is:

Explanation: The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
7^-2 = 1/7²
Hence, 7² x 1/7² = 1

2² x 2³ x 2⁴ is equal to:

Explanation: By laws of exponents:
a^m x aⁿ = a^m+n
2² x 2³ x 2⁴ = 2²⁺³⁺⁴ = 2⁹

3^-2 x 3^-5 is equal to:

Explanation: 3^-2 x 3^-5= (1/3²) x (1/3⁵)
= (1/3²⁺⁵)
= (1/3⁷)
= 3^-7

5⁴/5² is equal to:

Explanation: By exponent law:
a^m/aⁿ = a^m-n
5⁴/5² = 5^4-2 = 5²

The value of (3⁴)³ is:

Explanation: By law of exponent:
(a^m)ⁿ = a^mn
(3⁴)³ = 3^4×3 = 3¹²

3² x 4² is equal to:

Explanation: By exponent law;
a^m x b^m = (ab)^m
3² x 4² = (3×4)² = 12² = 144

5⁷/6⁷ will give the value:

Explanation: By exponent law:
a^m/b^m = (a/b)^m
5⁷/6⁷ = (⅚)⁷

100⁰+20⁰+5⁰ is equal to

Explanation: By exponent law we know:
a⁰ = 1
100⁰ + 20⁰ + 5⁰ = 1+1+1 = 3

If (–3)^m+1 × (–3)⁵ = (–3)⁷, then the value of m is:

Explanation: (–3)^m+1 × (–3)⁵ = (–3)⁷
(-3)^m+1+5 = (-3)⁷
(-3)^m+6 = (-3)⁷
Since, base are equal on both the sides, hence if we compare the powers,
m+6 = 7
m=7-6 = 1

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Exonents and power

The value of 2-2 is:

Explanation: 2-2 = 1/22 = ¼

The multiplicative inverse of 7-2 is:

Explanation: The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.7-2 = 1/72Hence, 72 x 1/72 = 1

22 x 23 x 24 is equal to:

Explanation: By laws of exponents:am x an = am+n22 x 23 x 24 = 22+3+4 = 29

3-2 x 3-5 is equal to:

Explanation: 3-2 x 3-5 = (1/32) x (1/35)= (1/32+5)= (1/37)= 3-7

54/52 is equal to:

Explanation: By exponent law:am/an = am-n54/52 = 54-2 = 52

The value of (34)3 is:

Explanation: By law of exponent:(am)n = amn(34)3 = 34×3 = 312

32 x 42 is equal to:

Explanation: By exponent law;am x bm = (ab)m32 x 42 = (3×4)2 = 122 = 144

57/67 will give the value:

Explanation: By exponent law:am/bm = (a/b)m57/67 = (⅚)7

1000+200+50 is equal to

Explanation: By exponent law we know:a0 = 11000 + 200 + 50 = 1+1+1 = 3

If (–3)m+1 × (–3)5 = (–3)7, then the value of m is:

Explanation: (–3)m+1 × (–3)5 = (–3)7(-3)m+1+5 = (-3)7(-3)m+6 = (-3)7Since, base are equal on both the sides, hence if we compare the powers,m+6 = 7m=7-6 = 1

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Popular Resources on Wayground

Discover more resources for Mathematics

The value of 2^-2 is:

Explanation: 2^-2 = 1/2² = ¼

The multiplicative inverse of 7^-2is:

Explanation: The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
7^-2 = 1/7²
Hence, 7² x 1/7² = 1

2² x 2³ x 2⁴ is equal to:

Explanation: By laws of exponents:
a^m x aⁿ = a^m+n
2² x 2³ x 2⁴ = 2²⁺³⁺⁴ = 2⁹

3^-2 x 3^-5 is equal to:

Explanation: 3^-2 x 3^-5= (1/3²) x (1/3⁵)
= (1/3²⁺⁵)
= (1/3⁷)
= 3^-7

5⁴/5² is equal to:

Explanation: By exponent law:
a^m/aⁿ = a^m-n
5⁴/5² = 5^4-2 = 5²

The value of (3⁴)³ is:

Explanation: By law of exponent:
(a^m)ⁿ = a^mn
(3⁴)³ = 3^4×3 = 3¹²

3² x 4² is equal to:

Explanation: By exponent law;
a^m x b^m = (ab)^m
3² x 4² = (3×4)² = 12² = 144

5⁷/6⁷ will give the value:

Explanation: By exponent law:
a^m/b^m = (a/b)^m
5⁷/6⁷ = (⅚)⁷

100⁰+20⁰+5⁰ is equal to

Explanation: By exponent law we know:
a⁰ = 1
100⁰ + 20⁰ + 5⁰ = 1+1+1 = 3

If (–3)^m+1 × (–3)⁵ = (–3)⁷, then the value of m is:

Explanation: (–3)^m+1 × (–3)⁵ = (–3)⁷
(-3)^m+1+5 = (-3)⁷
(-3)^m+6 = (-3)⁷
Since, base are equal on both the sides, hence if we compare the powers,
m+6 = 7
m=7-6 = 1