Q. Simplify. Express your answer using positive exponents.h6⋅h8h2
Identify Operation: Identify the operation needed for the exponents.When dividing powers with the same base, we subtract the exponents.
Combine Exponents: Rewrite the expression as a single power of h. The expression h6⋅h8h2 can be simplified by combining the exponents in the denominator and then subtracting from the exponent in the numerator.
Combine Denominator: Combine the exponents in the denominator.h6×h8=h(6+8)=h14
Subtract Exponents: Subtract the exponent in the denominator from the exponent in the numerator. h2/h14=h(2−14)=h−12
Express with Positive Exponent: Express the answer with a positive exponent.Since we want the answer with a positive exponent, we take the reciprocal of the base to make the exponent positive.h−12=h121
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