What is 4^{sqrt(3)}*4^{sqrt(12)} ?

The solution to 4^{sqrt(3)}*4^{sqrt(12)} is 64^{sqrt(3)}

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simplify 4^{sqrt(3)}*4^{sqrt(12)}

simplify

4^{3} \cdot 4^{12}

6 4^{3}

Decimal Notation

1343.98828 \dots

Solution steps

4^{3} \cdot 4^{12}

Apply exponent rule:

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

4^{3} \cdot 4^{12} = 4^{3 + 12}

= 4^{3 + 12}

3 + 12 = 33

= 4^{33}

Apply exponent rule:

a^{b x} = (a^{b})^{x}

4^{33} = (4^{3})^{3}

= (4^{3})^{3}

4^{3} = 64

= 6 4^{3}

\frac{( - 4 a ^{2} b ) ( - 3 a ^{7} b )}{6 a ^{7} b ^{2}} + 16 a^{2}

- 2 + 3 y = y - 2 - 4 y

64 m^{3} - 27

\frac{1}{3} x + 5 = \frac{1}{3} x + 5

4 a^{2} + 3 a - 10

What is 4^{sqrt(3)}*4^{sqrt(12)} ?
The solution to 4^{sqrt(3)}*4^{sqrt(12)} is 64^{sqrt(3)}