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Popular >

simplify (-5r^4s^{12})^4

Solution

simplify

(- 5 r^{4} s^{12})^{4}

Solution

625 r^{16} s^{48}

Solution steps

(- 5 r^{4} s^{12})^{4}

Apply exponent rule:

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

if

n

is even

(- 5 r^{4} s^{12})^{4} = (5 r^{4} s^{12})^{4}

= (5 r^{4} s^{12})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 r^{4} s^{12})^{4} = 5^{4} (r^{4})^{4} (s^{12})^{4}

= 5^{4} (r^{4})^{4} (s^{12})^{4}

5^{4} = 625

= 625 (r^{4})^{4} (s^{12})^{4}

Simplify

(r^{4})^{4} : r^{16}

= 625 r^{16} (s^{12})^{4}

Simplify

(s^{12})^{4} : s^{48}

= 625 r^{16} s^{48}

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Frequently Asked Questions (FAQ)

What is (-5r^4s^{12})^4 ?
The solution to (-5r^4s^{12})^4 is 625r^{16}s^{48}