rewrite using a single exponet

Question

7^5 x 7^3

Answer 1

7^(5+3)

Answer 2

wrong

Answer 3

I apologize for the confusion. Let me correct myself.

To rewrite 7^5 x 7^3 using a single exponent, we can add the exponents together since the bases are the same.

7^(5+3) = 7^8

Answer 4

rewrite using a single exponet

4x4^7

Answer 5

To rewrite 4x4^7 using a single exponent, we can use the product of powers rule.

4x4^7 = (4^1)(4^7)

Since the bases are the same, we can add the exponents together.

4^1 x 4^7 = 4^(1+7) = 4^8

Answer 6

Michael made $112 for 7 hours of work.
At the same rate, how many hours would he have to work to make $208?

Answer 7

To find the number of hours Michael would have to work to make $208 at the same rate, we can set up a proportion:

112 / 7 = 208 / x

Cross-multiplying, we get:

112x = 7 * 208

Simplifying the right side:

112x = 1,456

Dividing both sides by 112:

x = 1,456 / 112

Calculating this, we find:

x ≈ 13

Therefore, Michael would have to work approximately 13 hours to make $208 at the same rate.