Algebra Examples

Evaluate (4^-5)/(4^7)*4^-7
Step 1
Simplify the numerator.
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Step 1.1
Rewrite the expression using the negative exponent rule .
Step 1.2
Raise to the power of .
Step 2
Raise to the power of .
Step 3
Multiply the numerator by the reciprocal of the denominator.
Step 4
Multiply .
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Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 5
Rewrite the expression using the negative exponent rule .
Step 6
Combine fractions.
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Step 6.1
Combine.
Step 6.2
Multiply by .
Step 7
Simplify the denominator.
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Step 7.1
Rewrite as .
Step 7.2
Rewrite as .
Step 7.3
Multiply the exponents in .
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Step 7.3.1
Apply the power rule and multiply exponents, .
Step 7.3.2
Multiply by .
Step 7.4
Use the power rule to combine exponents.
Step 7.5
Add and .
Step 8
Raise to the power of .
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: