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Popular >

simplify (2/7 a^2)(21a^5)

Solution

simplify

(\frac{2}{7} a^{2}) (21 a^{5})

Solution

6 a^{7}

Solution steps

(\frac{2}{7} a^{2}) (21 a^{5})

Apply exponent rule:

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

a^{2} a^{5} = a^{2 + 5}

= \frac{2}{7} \cdot 21 a^{2 + 5}

Add the numbers:

2 + 5 = 7

= \frac{2}{7} \cdot 21 a^{7}

Multiply fractions:

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

= \frac{2 \cdot 21 a ^{7}}{7}

Multiply the numbers:

2 \cdot 21 = 42

= \frac{42 a ^{7}}{7}

Divide the numbers:

\frac{42}{7} = 6

= 6 a^{7}

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Frequently Asked Questions (FAQ)

What is (2/7 a^2)(21a^5) ?
The solution to (2/7 a^2)(21a^5) is 6a^7