Basic Math Examples

Evaluate (6.5^(-1/20))/(6.5^(-3/10))
Step 1
Move to the numerator using the negative exponent rule .
Step 2
Multiply by by adding the exponents.
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Step 2.1
Use the power rule to combine exponents.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Add and .
Step 2.6
Cancel the common factor of and .
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Step 2.6.1
Factor out of .
Step 2.6.2
Cancel the common factors.
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Step 2.6.2.1
Factor out of .
Step 2.6.2.2
Cancel the common factor.
Step 2.6.2.3
Rewrite the expression.
Step 3
Raise to the power of .