Exonents and power

The value of 2^-2 is:

• 4

• ¼

• 2

• ½

Answer explanation

Explanation: 2^-2 = 1/2² = ¼

Tags

CCSS.7.NS.A.1C

The multiplicative inverse of 7^-2 is:

• 7²

• 7

• 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

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

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

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

The value of (3⁴)³ is:

• 3

• 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

3² x 4² is equal to:

• 121

• 49

• 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

5⁷/6⁷ will give the value:

• (⅚)⁷

• (⅚)⁰

• (⅚)^-7

• (6/5)^-7

Answer explanation

Explanation: By exponent law:

a^m/b^m = (a/b)^m

5⁷/6⁷ = (⅚)⁷

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

100⁰+20⁰+5⁰ is equal to

• 125

• 25

• 1/125

• 3

Answer explanation

Explanation: By exponent law we know:

a⁰ = 1

100⁰ + 20⁰ + 5⁰ = 1+1+1 = 3

Tags

CCSS.2.NBT.A.3

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

• 5

• 7

• 1

• 3

Answer explanation

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

Tags

CCSS.8.EE.A.1