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Popular >

simplify ((3(6))/(17-5))^4

Solution

simplify

(\frac{3 ( 6 )}{17 - 5})^{4}

Solution

\frac{81}{16}

+1

Decimal Notation

5.0625

Solution steps

(\frac{3 ( 6 )}{17 - 5})^{4}

Apply rule:

(a) = a

(6) = 6

= (\frac{3 \cdot 6}{17 - 5})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 \cdot 6 ) ^{4}}{( 17 - 5 ) ^{4}}

(3 \cdot 6)^{4} = 104976

= \frac{104976}{( 17 - 5 ) ^{4}}

(17 - 5)^{4} = 20736

= \frac{104976}{20736}

Cancel the common factor:

1296

= \frac{81}{16}

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Frequently Asked Questions (FAQ)

What is ((3(6))/(17-5))^4 ?
The solution to ((3(6))/(17-5))^4 is 81/16