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Popular >

simplify (1/3)^2*(1/3)^3

Solution

simplify

(\frac{1}{3})^{2} \cdot (\frac{1}{3})^{3}

Solution

\frac{1}{243}

+1

Decimal Notation

0.00411 \dots

Solution steps

(\frac{1}{3})^{2} (\frac{1}{3})^{3}

Apply exponent rule:

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

(\frac{1}{3})^{2} (\frac{1}{3})^{3} = (\frac{1}{3})^{2 + 3}

= (\frac{1}{3})^{2 + 3}

Add the numbers:

2 + 3 = 5

= (\frac{1}{3})^{5}

Apply exponent rule:

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

= \frac{1 ^{5}}{3 ^{5}}

1^{5} = 1

= \frac{1}{3 ^{5}}

3^{5} = 243

= \frac{1}{243}

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Frequently Asked Questions (FAQ)

What is (1/3)^2*(1/3)^3 ?
The solution to (1/3)^2*(1/3)^3 is 1/243