What is 1/4 (3c^4d^9)(8d) ?

The solution to 1/4 (3c^4d^9)(8d) is 6c^4d^{10}

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simplify 1/4 (3c^4d^9)(8d)

simplify

\frac{1}{4} (3 c^{4} d^{9}) (8 d)

6 c^{4} d^{10}

Solution steps

\frac{1}{4} (3 c^{4} d^{9}) (8 d)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

d^{9} d = d^{9 + 1}

= \frac{1}{4} \cdot 3 c^{4} \cdot 8 d^{9 + 1}

Add the numbers:

9 + 1 = 10

= \frac{1}{4} \cdot 3 c^{4} \cdot 8 d^{10}

Multiply fractions:

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

= \frac{1 \cdot 3 c ^{4} \cdot 8 d ^{10}}{4}

Multiply the numbers:

1 \cdot 3 \cdot 8 = 24

= \frac{24 c ^{4} d ^{10}}{4}

Divide the numbers:

\frac{24}{4} = 6

= 6 c^{4} d^{10}

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