Basic Math Examples

Simplify ((13y^-3)/(y^5))^-2*4/(y^5)
Step 1
Move to the denominator 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
Add and .
Step 3
Change the sign of the exponent by rewriting the base as its reciprocal.
Step 4
Apply the product rule to .
Step 5
Combine.
Step 6
Simplify the expression.
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Step 6.1
Multiply the exponents in .
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Step 6.1.1
Apply the power rule and multiply exponents, .
Step 6.1.2
Multiply by .
Step 6.2
Raise to the power of .
Step 7
Cancel the common factor of and .
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Step 7.1
Factor out of .
Step 7.2
Cancel the common factors.
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Step 7.2.1
Factor out of .
Step 7.2.2
Cancel the common factor.
Step 7.2.3
Rewrite the expression.
Step 8
Move to the left of .