Simplify. Express your answer using positive exponents. h^-6/(h^6 * h^-6) ______

Question

Bytelearn · Accepted Answer

Identify Operation: Identify the operation needed for the exponents. We need to simplify the expression h^-6/(h^6 * h^-6) by using the properties of exponents.Apply Quotient Rule: Apply the quotient rule for exponents. The quotient rule states that when we divide powers with the same base, we subtract the exponents.  h^-6/(h^6 * h^-6) can be simplified by first simplifying the denominator.Simplify Denominator: Simplify the denominator using the product rule for exponents. The product rule states that when we multiply powers with the same base, we add the exponents. h^6 * h^-6 = h^(6 + (-6)) = h^0Recognize Power of 0: Recognize that any non-zero number raised to the power of 0 is 1. h^0 = 1 So, the denominator simplifies to 1.Divide Numerator: Divide the numerator by the denominator. h^-6 / 1 = h^-6 Since the denominator is 1, it does not change the value of the numerator.Express Negative Exponent: Express the negative exponent as a positive exponent. We know that h^-6 is the same as 1/h^6.Final Simplification: Simplify the expression. Since 1/h^6 is already in its simplest form with a positive exponent, this is our final answer.

Simplify. Express your answer using positive exponents. $\newline$ $\frac{h^{-6}}{h^{6} \cdot h^{-6}}$

Full solution

More problems from Simplify exponential expressions using exponent rules

Related topics

Simplify. Express your answer using positive exponents.\newlineh−6h6⋅h−6\frac{h^{-6}}{h^{6} \cdot h^{-6}}h6⋅h−6h−6​

Simplify. Express your answer using positive exponents. $\newline$ $\frac{h^{-6}}{h^{6} \cdot h^{-6}}$