rewrite using a single exponet
7^5 x 7^3
7^(5+3)
wrong
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
rewrite using a single exponet
4x4^7
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
Michael made $112 for 7 hours of work.
At the same rate, how many hours would he have to work to make $208?
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.