Powers with the Same Base

Question 1

1. Multiply powers: 32 · 33

Revolt · Accepted Answer

✔ sum; Find the area. 1. Multiply powers: 32 · 33 2. Expand each power: (3 · 3) · (3 · 3 · 3) 3. Simplify: 35 Complete each sentence.: sum; Find the area. 1. Multiply powers: 32 · 33 2. Expand each power: (3 · 3) · (3 · 3 · 3) 3. Simplify: 35 Complete each sentence.: 243

Question 2

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

Revolt · Accepted Answer

✔ 10,000

Question 3

Which shows the correct simplification of product of powers?

Revolt · Accepted Answer

78 · 7–4 = 78 + (–4) = 74

Question 4

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

Revolt · Accepted Answer

The expression has a value of .; An equivalent expression is 65 · 6-7.

Question 5

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

Revolt · Accepted Answer

No, she multiplied the exponents instead of adding them.

Question 6

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

Revolt · Accepted Answer

✔ –3; 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

Question 7

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

Revolt · Accepted 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.

Question 8

A megaliter is times larger than a hectoliter.

Revolt · Accepted Answer

10000

Question 9

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

Revolt · Accepted Answer

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

Question 10

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

Revolt · Accepted Answer

✔ difference; 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

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