What is 3x^{2.5}*3x^{2.5}*3x^{2.5}*3x^{2.5} ?

The solution to 3x^{2.5}*3x^{2.5}*3x^{2.5}*3x^{2.5} is 81x^{10}

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simplify 3x^{2.5}3x^{2.5}3x^{2.5}*3x^{2.5}

simplify

3 x^{2.5} \cdot 3 x^{2.5} \cdot 3 x^{2.5} \cdot 3 x^{2.5}

81 x^{10}

Solution steps

3 x^{2.5} \cdot 3 x^{2.5} \cdot 3 x^{2.5} \cdot 3 x^{2.5}

Multiply the numbers:

3 \cdot 3 \cdot 3 \cdot 3 = 81

= 81 x^{2.5} x^{2.5} x^{2.5} x^{2.5}

Apply exponent rule:

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

x^{2.5} x^{2.5} x^{2.5} x^{2.5} = x^{2.5 + 2.5 + 2.5 + 2.5}

= 81 x^{2.5 + 2.5 + 2.5 + 2.5}

Add the numbers:

2.5 + 2.5 + 2.5 + 2.5 = 10

= 81 x^{10}

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What is 3x^{2.5}*3x^{2.5}*3x^{2.5}*3x^{2.5} ?
The solution to 3x^{2.5}*3x^{2.5}*3x^{2.5}*3x^{2.5} is 81x^{10}