What is (-(b^3c^2)/(8a^3))^2 ?

The solution to (-(b^3c^2)/(8a^3))^2 is (b^6c^4)/(64a^6)

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simplify (-(b^3c^2)/(8a^3))^2

simplify

(- \frac{b ^{3} c ^{2}}{8 a ^{3}})^{2}

\frac{b ^{6} c ^{4}}{64 a ^{6}}

Solution steps

(- \frac{b ^{3} c ^{2}}{8 a ^{3}})^{2}

Apply exponent rule:

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

n

is even

(- \frac{b ^{3} c ^{2}}{8 a ^{3}})^{2} = (\frac{b ^{3} c ^{2}}{8 a ^{3}})^{2}

= (\frac{b ^{3} c ^{2}}{8 a ^{3}})^{2}

Apply exponent rule:

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

= \frac{( b ^{3} c ^{2} ) ^{2}}{( 8 a ^{3} ) ^{2}}

Simplify

(b^{3} c^{2})^{2} : b^{6} c^{4}

= \frac{b ^{6} c ^{4}}{( 8 a ^{3} ) ^{2}}

Simplify

(8 a^{3})^{2} : 64 a^{6}

= \frac{b ^{6} c ^{4}}{64 a ^{6}}

(sin (x)) (cos (x))

\frac{tan ^{2} ( θ )}{sec ^{2} ( θ )}

\frac{x ^{3}}{3} + \frac{1}{4 x}

\frac{5}{7 + 3}

lo g_{10} (x + 3) + lo g_{10} (x + 5)

What is (-(b^3c^2)/(8a^3))^2 ?
The solution to (-(b^3c^2)/(8a^3))^2 is (b^6c^4)/(64a^6)