Which power does this expression simplify to? [(7^5)(7^3)]^-4

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

Answer:

1/7^32

Step-by-step explanation:

when multiplying two bases with different exponents, you keep the base and add the exponents, making the first step of this (7^5)(7^3)=7^8

but when you multiply a base and exponent by just an exponent, you keep the base and multiply the exponents, making the second step 7^8(^-4)=7^-32

you cannot have a negative exponent, and would therefore turn it into a fraction with the base and exponent at the bottom, making your final answer 1/7^32

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