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\left(\frac{1}{5}h^{2}\right)^{1}\times \frac{1}{\frac{1}{5}h^{2}}
Use the rules of exponents to simplify the expression.
\left(\frac{1}{5}\right)^{1}\left(h^{2}\right)^{1}\times \frac{1}{\frac{1}{5}}\times \frac{1}{h^{2}}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\left(\frac{1}{5}\right)^{1}\times \frac{1}{\frac{1}{5}}\left(h^{2}\right)^{1}\times \frac{1}{h^{2}}
Use the Commutative Property of Multiplication.
\left(\frac{1}{5}\right)^{1}\times \frac{1}{\frac{1}{5}}h^{2}h^{2\left(-1\right)}
To raise a power to another power, multiply the exponents.
\left(\frac{1}{5}\right)^{1}\times \frac{1}{\frac{1}{5}}h^{2}h^{-2}
Multiply 2 times -1.
\left(\frac{1}{5}\right)^{1}\times \frac{1}{\frac{1}{5}}h^{2-2}
To multiply powers of the same base, add their exponents.
\left(\frac{1}{5}\right)^{1}\times \frac{1}{\frac{1}{5}}h^{0}
Add the exponents 2 and -2.
\left(\frac{1}{5}\right)^{1-1}h^{0}
To multiply powers of the same base, add their exponents.
\left(\frac{1}{5}\right)^{0}h^{0}
Add the exponents 1 and -1.
1\times 1
For any term t except 0, t^{0}=1.
1
For any term t, t\times 1=t and 1t=t.
\frac{\left(\frac{1}{5}\right)^{1}h^{2}}{\left(\frac{1}{5}\right)^{1}h^{2}}
Use the rules of exponents to simplify the expression.
\left(\frac{1}{5}\right)^{1-1}h^{2-2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\left(\frac{1}{5}\right)^{0}h^{2-2}
Subtract 1 from 1.
h^{2-2}
For any number a except 0, a^{0}=1.
h^{0}
Subtract 2 from 2.
1
For any number a except 0, a^{0}=1.