Question

Circle the examples below that can be simplified using exponent laws. In the space below, explain why you can use an exponent law for the ones that you circled. If an example cannot be simplified using an exponent law, explain why not.

a) 3^4 x 3^7
b) 2^8 + 2^3
c) 8^12 / 2^12
d) 4^9 / 4^5
e) 5^3 x 7^6

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Answer 1

a, d

Explanation:

a will have our exponents added because they are multiplied. Giving us 3^11.

b cannot be performed, because the exponents would need to be calculated first, not using exponent laws.

c is not possible, because we have different bases.

d is possible, because we have the same bases, thus giving us 4^4

e is not possible, because we have different bases