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Popular >

simplify 9^{0.9}*3^{1.2}

Solution

simplify

9^{0.9} \cdot 3^{1.2}

Solution

27

Solution steps

9^{0.9} \cdot 3^{1.2}

Factor integer

9 = 3^{2}

= (3^{2})^{0.9} \cdot 3^{1.2}

Apply exponent rule:

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

(3^{2})^{0.9} = 3^{2 \cdot 0.9}

= 3^{2 \cdot 0.9} \cdot 3^{1.2}

Refine

= 3^{1.8} \cdot 3^{1.2}

Apply exponent rule:

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

3^{1.8} \cdot 3^{1.2} = 3^{1.8 + 1.2}

= 3^{1.8 + 1.2}

Add the numbers:

1.8 + 1.2 = 3

= 3^{3}

3^{3} = 27

= 27

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Frequently Asked Questions (FAQ)

What is 9^{0.9}*3^{1.2} ?
The solution to 9^{0.9}*3^{1.2} is 27