What is ((-5)^4(-5)^2(-5))/((-5)^3) ?

The solution to ((-5)^4(-5)^2(-5))/((-5)^3) is 625

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simplify ((-5)^4(-5)^2(-5))/((-5)^3)

simplify

\frac{( - 5 ) ^{4} ( - 5 ) ^{2} ( - 5 )}{( - 5 ) ^{3}}

625

Solution steps

\frac{( - 5 ) ^{4} ( - 5 ) ^{2} ( - 5 )}{( - 5 ) ^{3}}

(- 5)^{3} = - 125

= \frac{( - 5 ) ^{4} ( - 5 ) ^{2} ( - 5 )}{- 125}

Remove parentheses:

(- 5)^{4} (- 5)^{2} (- 5) = - (- 5)^{4} (- 5)^{2} \cdot 5

= \frac{- ( - 5 ) ^{4} ( - 5 ) ^{2} \cdot 5}{- 125}

Apply the fraction rule:

\frac{- a}{- b} = \frac{a}{b}

= \frac{( - 5 ) ^{4} ( - 5 ) ^{2} \cdot 5}{125}

Factor the number:

125 = 5 \cdot 25

= \frac{( - 5 ) ^{4} ( - 5 ) ^{2} \cdot 5}{5 \cdot 25}

Cancel the common factor:

5

= \frac{( - 5 ) ^{4} ( - 5 ) ^{2}}{25}

Apply exponent rule:

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

n

is even

(- 5)^{4} = 5^{4}

= \frac{5 ^{4} ( - 5 ) ^{2}}{25}

Factor the number:

25 = 5^{2}

= \frac{5 ^{4} ( - 5 ) ^{2}}{5 ^{2}}

\frac{5 ^{4}}{5 ^{2}} = 5^{2}

= 5^{2} (- 5)^{2}

5^{2} (- 5)^{2} = 625

= 625

3 x^{2} + x = 2 x - 6

c^{2} - 5 c - 36 = 0

x + 4 = 2 x

lo g_{4} (48 x + 80 y)

\frac{x - 2}{6} - \frac{x + 1}{3} + \frac{x - 1}{2} = 0

What is ((-5)^4(-5)^2(-5))/((-5)^3) ?
The solution to ((-5)^4(-5)^2(-5))/((-5)^3) is 625