What is 1/4 (-4^3+10^2) ?

The solution to 1/4 (-4^3+10^2) is 9

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1/4 (-4^3+10^2)

\frac{1}{4} (- 4^{3} + 1 0^{2})

9

Solution steps

\frac{1}{4} (- 4^{3} + 1 0^{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(- 4^{3} + 1 0^{2}) : 36

- 4^{3} + 1 0^{2}

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= - 64 + 1 0^{2}

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= - 64 + 100

Add and subtract (left to right)

- 64 + 100 : 36

- 64 + 100

- 64 + 100 = 36

= 36

= 36

= \frac{1}{4} \cdot 36

Multiply and divide (left to right)

\frac{1}{4} \cdot 36 : 9

\frac{1}{4} \cdot 36

Convert element to fraction:

36 = \frac{36}{1}

= \frac{1}{4} \cdot \frac{36}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 36}{4 \cdot 1}

\frac{1 \cdot 36}{4 \cdot 1} = 9

\frac{1 \cdot 36}{4 \cdot 1}

\frac{1 \cdot 36}{4 \cdot 1} = \frac{36}{4}

\frac{1 \cdot 36}{4 \cdot 1}

Multiply the numbers:

1 \cdot 36 = 36

= \frac{36}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{36}{4}

= \frac{36}{4}

Divide the numbers:

\frac{36}{4} = 9

= 9

= 9

= 9

(5 - 2)^{2}

5 (- 4) + 2

6^{6} + 6^{6} + 6^{6} + 6^{6} + 6^{6} + 6^{6}

(- 3 + 1)^{2}

(1/8 + 51/4 - 1/20) \times 91/16