The solution to (1/3)9^3 is 243

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(1/3)9^3

Solution

(\frac{1}{3}) 9^{3}

243

Solution steps

(\frac{1}{3}) \cdot 9^{3}

Follow the PEMDAS order of operations

Calculate exponents

9^{3} : 729

9^{3}

9^{3} = 729

= 729

= (\frac{1}{3}) \cdot 729

Multiply and divide (left to right)

(\frac{1}{3}) \cdot 729 : 243

(\frac{1}{3}) \cdot 729

Apply rule:

(a) = a

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

= \frac{1}{3} \cdot 729

\frac{1}{3} \cdot 729 = 243

\frac{1}{3} \cdot 729

Convert element to fraction:

729 = \frac{729}{1}

= \frac{1}{3} \cdot \frac{729}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 729}{3 \cdot 1}

\frac{1 \cdot 729}{3 \cdot 1} = 243

\frac{1 \cdot 729}{3 \cdot 1}

\frac{1 \cdot 729}{3 \cdot 1} = \frac{729}{3}

\frac{1 \cdot 729}{3 \cdot 1}

Multiply the numbers:

1 \cdot 729 = 729

= \frac{729}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{729}{3}

= \frac{729}{3}

Divide the numbers:

\frac{729}{3} = 243

= 243

= 243

= 243

= 243

\frac{( 21 - 3 )}{( - 3 ) ^{2}}

910 - 939 - 201

\frac{2}{2} \cdot 5

\frac{729}{3}

3.5 \cdot 3.5