What is (0.5a^3)(0.25a^{13}) ?

The solution to (0.5a^3)(0.25a^{13}) is 0.125a^{16}

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simplify (0.5a^3)(0.25a^{13})

simplify

(0.5 a^{3}) (0.25 a^{13})

0.125 a^{16}

Solution steps

(0.5 a^{3}) (0.25 a^{13})

Apply exponent rule:

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

a^{3} a^{13} = a^{3 + 13}

= 0.5 \cdot 0.25 a^{3 + 13}

Add the numbers:

3 + 13 = 16

= 0.5 \cdot 0.25 a^{16}

Multiply the numbers:

0.5 \cdot 0.25 = 0.125

= 0.125 a^{16}

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What is (0.5a^3)(0.25a^{13}) ?
The solution to (0.5a^3)(0.25a^{13}) is 0.125a^{16}