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Popular >

simplify 3sqrt(3)(3sqrt(3))

Solution

simplify

33 (33)

Solution

27

Solution steps

33 (33)

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

= 3 \cdot 3^{1 + 1} 3

Add the numbers:

1 + 1 = 2

= 3 \cdot 3^{2} 3

Apply radical rule:

a a = a

33 = 3

= 3^{2} \cdot 3

Apply exponent rule:

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

3^{2} \cdot 3 = 3^{2 + 1}

= 3^{2 + 1}

Add the numbers:

2 + 1 = 3

= 3^{3}

3^{3} = 27

= 27

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Frequently Asked Questions (FAQ)

What is 3sqrt(3)(3sqrt(3)) ?
The solution to 3sqrt(3)(3sqrt(3)) is 27