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Popular >

simplify (-7/3)^4

Solution

simplify

(- \frac{7}{3})^{4}

Solution

\frac{2401}{81}

+1

Decimal Notation

29.64197 \dots

Solution steps

(- \frac{7}{3})^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- \frac{7}{3})^{4} = (\frac{7}{3})^{4}

= (\frac{7}{3})^{4}

Apply exponent rule:

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

= \frac{7 ^{4}}{3 ^{4}}

7^{4} = 2401

= \frac{2401}{3 ^{4}}

3^{4} = 81

= \frac{2401}{81}

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Frequently Asked Questions (FAQ)

What is (-7/3)^4 ?
The solution to (-7/3)^4 is 2401/81