Q. Simplify. Express your answer using positive exponents. k5⋅k5k3
Identify Operation: Identify the operation needed for the exponents.When dividing powers with the same base, we subtract the exponents. When multiplying powers with the same base, we add the exponents.
Simplify Denominator: Simplify the denominator.The denominator is k5×k5. We add the exponents because the bases are the same and we are multiplying.k5×k5=k(5+5)=k10.
Divide Powers of k: Divide the powers of k. Now we have k10k3. We subtract the exponent in the denominator from the exponent in the numerator because we are dividing. k10k3=k(3−10)=k−7.
Express Answer: Express the answer with a positive exponent.Since we cannot have negative exponents in the final answer, we rewrite k−7 as k71.
More problems from Simplify exponential expressions using exponent rules