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Popular >

4/3*9^3

Solution

\frac{4}{3} \cdot 9^{3}

972

Solution steps

\frac{4}{3} \cdot 9^{3}

Follow the PEMDAS order of operations

Calculate exponents

9^{3} : 729

9^{3}

9^{3} = 729

= 729

= \frac{4}{3} \cdot 729

Multiply and divide (left to right)

\frac{4}{3} \cdot 729 : 972

\frac{4}{3} \cdot 729

Convert element to fraction:

729 = \frac{729}{1}

= \frac{4}{3} \cdot \frac{729}{1}

Apply the fraction rule:

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

= \frac{4 \cdot 729}{3 \cdot 1}

Cancel

\frac{4 \cdot 729}{3 \cdot 1} : 972

\frac{4 \cdot 729}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{4 \cdot 729}{3}

Divide the numbers:

\frac{729}{3} = 243

= 4 \cdot 243

Multiply the numbers:

4 \cdot 243 = 972

= 972

= 972

= 972

5 \div (7 - 6) \times (9 + 10) \times (4 - 3)

- 8 + 7 [3 - 2 (1 + 2) - 2 (8 - 9)] - 6 (2 + 0)

4 + 3 - (- 3 + 10)

60 - 3 (4) + (1 + 1)^{2}

37 + (- 16) + (- 12) + 21 + (- 10) - 3