What is 1/2 (-5a^2b^3)^2(abc)^2 ?

The solution to 1/2 (-5a^2b^3)^2(abc)^2 is (25a^6b^8c^2)/2

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simplify 1/2 (-5a^2b^3)^2(abc)^2

simplify

\frac{1}{2} (- 5 a^{2} b^{3})^{2} (ab c)^{2}

\frac{25 a ^{6} b ^{8} c ^{2}}{2}

Solution steps

\frac{1}{2} (- 5 a^{2} b^{3})^{2} (ab c)^{2}

Simplify

(- 5 a^{2} b^{3})^{2} : 25 a^{4} b^{6}

= \frac{1}{2} \cdot 25 a^{4} b^{6} (ab c)^{2}

Apply exponent rule:

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

(ab c)^{2} = a^{2} b^{2} c^{2}

= \frac{1}{2} \cdot 25 a^{4} b^{6} a^{2} b^{2} c^{2}

Simplify

a^{4} a^{2} : a^{6}

= \frac{1}{2} \cdot 25 a^{6} b^{6} b^{2} c^{2}

Simplify

b^{6} b^{2} : b^{8}

= \frac{1}{2} \cdot 25 a^{6} b^{8} c^{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 25 a ^{6} b ^{8} c ^{2}}{2}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25 a ^{6} b ^{8} c ^{2}}{2}

10 x - 2 (3 + 5 x) = - 6

\frac{10}{18}

2 x^{2} - 17 x + 30

lo g_{243} (27)

\frac{1}{2}

What is 1/2 (-5a^2b^3)^2(abc)^2 ?
The solution to 1/2 (-5a^2b^3)^2(abc)^2 is (25a^6b^8c^2)/2