AnswersFL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Powers with the Same Base

Powers with the Same Base Answers

18 verified answers
1
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The differenceproductquotient✔ sum of the original exponent is the exponent in the power of product.

A
difference
B
product
C
quotient
D
✔ sum
2
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The dog pen has an area of 152781✔ 243 square feet.

A
15
B
27
C
81
D
✔ 243
3

What is the value of n in th product of 92 · 9-7 · 9n = 9-5 = ?n = –2✔ 012

Question illustration
A
–2
B
✔ 0
C
1
D
2
4

The work shows that a megaliter is 10,000 times larger than a hectoliter.

Answers:
The work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000:difference
The work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000:liter
The work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000:10,000
5

Which shows the correct simplification of product of powers?

A
78 · 7-4 = 78· (–4) = 7–32
B
78 · 7–4 = 78 ÷ (–4) = 7–2
C
78 · 7–4 = 78 + (–4) = 74
D
78 · 7–4 = 78 - (–4) = 712
6

Which statements are true about the expression? Check all that apply.

A
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
B
The sum of the exponents is 2.
C
Multiply the exponents to simplify the expression.
D
The expression has a value of .
Option D
E
An equivalent expression is 65 · 6-7.
7

Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.

A
Yes, she is correct.
B
No, the exponent should be positive 8.
C
No, she multiplied the exponents instead of adding them.
D
No, she multiplied the exponents instead of subtracting them.
8

Determine the value of the variable in the product of powers.

Answers:
Determine the value of the variable in the product of powers.:–3
Determine the value of the variable in the product of powers.:–9
Determine the value of the variable in the product of powers.:0
9

Why can’t you use the product of powers rule to simplify this expression? Explain.34 · 28

Answer:

The product of powers rule can only be used when the bases of the expressions being multiplied are the same. In the expression 3^4 · 2^8, the bases are 3 and 2. Since the bases are different, the rule does not apply.

10

Which did you include in your response?

A
To apply the product of powers rule, the bases must be the same.
B
In this example, the bases are 2 and 3, so they are not the same.
11

A megaliter is times larger than a hectoliter.

Answer:

10000

12

The work shows that a megaliter is 10,000 times larger than a hectoliter.

Answers:
The work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000:difference
The work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000:liter
The work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000:10,000
13

What is the quotient ?

Question illustration
A
Option
Option A
B
Option
Option B
C
73
Option C
D
78
Option D
14

What is the value of k in the equation?k =

Question illustration
Answer:

13

15

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
8-1
B
9-2
C
Option
Option C
D
Option
Option D
E
9-6 · 93
F
95 · 9-7
16

What is the value of y in the product of p-3 · p-6 = pyy = ✔ –9–3218

A
✔ –9
B
–3
C
2
D
18
17

The kiloliter is 103 times greater than a centiliter✔ literhectolitergigaliter.

A
centiliter
B
✔ liter
C
hectoliter
D
gigaliter
18

The hectoliter is 101001,000✔ 10,000 times greater than centiliter.

A
10
B
100
C
1,000
D
✔ 10,000

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