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2.2 Higher Exponent Exercies

Authored by M. Afif Mukhlisin

Mathematics

6th - 8th Grade

Used 11+ times

2.2 Higher Exponent Exercies
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30 questions

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1.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Let A=25, B=34, C=43, and D=52.A=2^5,\ B=3^4,\ C=4^3,\ and\ D=5^2. Write A, B, C, and D in order from smallest to largest.

note : Type the letter directly without separator like space or coma. e.g. [abcd or ABCD].

(a)  

Answer explanation

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2.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Compute the difference between the square of the cube of 2 and the cube of the square of 2.

(a)  

Answer explanation

Media Image

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The sum of 33+33+333^3+3^3+3^3 is equal to which one of the following?

343^4

939^3

393^9

27327^3

3273^{27}

Answer explanation

33+33+33=3⋅33=31⋅33=31+3=34.3^3+3^3+3^3=3\cdot3^3=3^1\cdot3^3=3^{1+3}=3^4.

4.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Evaluate the following expressions.

24+24+24+242^4+2^4+2^4+2^4

(a)  

Answer explanation

24+24+24+24=4⋅24=4⋅16=64.2^4+2^4+2^4+2^4=4\cdot2^4=4\cdot16=64.

5.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Evaluate the following expressions.

(25+26+27)÷23(2^5+2^6+2^7)\div2^3

(a)  

Answer explanation

Media Image

Evaluate the powers inside the parentheses first:

(25+26+27)÷23=(32+64+128)÷8=224÷8=28.(2^5+2^6+2^7)\div2^3=(32+64+128)\div8=224\div8=28.

6.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Evaluate the following expressions.

34−5⋅83^4-5\cdot8

(a)  

Answer explanation

Exponentiation first, then multiplication, and finally subtraction:

34−5⋅8=81−5⋅8=81−40=41.3^4-5\cdot8=81-5\cdot8=81-40=41.

7.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Evaluate the following expressions.

25−24−232^5-2^4-2^3

(a)  

Answer explanation

Evaluate the three powers first and then subtract:

25−24−23=32−16−8=16−8=8.2^5-2^4-2^3=32-16-8=16-8=8.

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