# Evaluate (9.6*10^3)^-4

(9.6⋅103)-4
Rewrite the expression using the negative exponent rule b-n=1bn.
1(9.6⋅103)4
Simplify the denominator.
Apply the product rule to 9.6⋅103.
19.64⋅(103)4
Raise 9.6 to the power of 4.
18493.4656⋅(103)4
Multiply the exponents in (103)4.
Apply the power rule and multiply exponents, (am)n=amn.
18493.4656⋅103⋅4
Multiply 3 by 4.
18493.4656⋅1012
18493.4656⋅1012
Raise 10 to the power of 12.
18493.4656⋅1000000000000
18493.4656⋅1000000000000
Simplify the expression.
Multiply 8493.4656 by 1000000000000.
18493465600000000
Divide 1 by 8493465600000000.
0
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Evaluate (9.6*10^3)^-4

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