# exponents

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I need help with a few problems...

(4^3 x 5^-2)(5^4 x 4^-5)/ 4^-3 x 5^3

and

(2^x+2) - (2^x+5) = -7

• exponents -

Just use the rules for adding and subtracting exponents of the same number, when multiplying or dividing.

(4^3 x 5^-2)(5^4 x 4^-5)/ (4^-3 x 5^3)
= 4^-2 x 5^2/(4^-3 x 5^3)
= 4^1 x 5^-1 = 4/5

Do the second problem the same way

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