Question

Is 4^7x4^-5 equivalent to 4^-35

Answer 1

No

Explanation:

You are multiplying two powers with the same base, 4, and exponents 7 and -5.

When you multiply two powers with the same base, you keep the same base, and you add the exponents. In this example, instead of adding the exponents and ending up with an exponent of 2 since 7 + (-5) is 2, the exponents were multiplied.

4^7 x 4^-5 = 4^(7 + (-5)) = 4^2

4^-35 is not equivalent to 4^2.