Solve (-15)-(-sqrt{64})divsqrt[3]{1/64}-60div(-2)

$$( - 15 ) - ( - \sqrt { 64 } ) \div \sqrt[ 3 ] { \frac { 1 } { 64 } } - 60 \div ( - 2 )$$

Evaluate

$$47$$

Solution Steps

Calculate the square root of 64 and get 8.

$$-15-\frac{-8}{\sqrt[3]{\frac{1}{64}}}-\frac{60}{-2}$$

Calculate \sqrt[3]{\frac{1}{64}} and get \frac{1}{4}.

$$-15-\frac{-8}{\frac{1}{4}}-\frac{60}{-2}$$

Divide -8 by \frac{1}{4} by multiplying -8 by the reciprocal of \frac{1}{4}.

$$-15-\left(-8\times 4\right)-\frac{60}{-2}$$

Multiply -8 and 4 to get -32.

$$-15-\left(-32\right)-\frac{60}{-2}$$

The opposite of -32 is 32.

$$-15+32-\frac{60}{-2}$$

Add -15 and 32 to get 17.

$$17-\frac{60}{-2}$$

Divide 60 by -2 to get -30.

$$17-\left(-30\right)$$

The opposite of -30 is 30.

$$17+30$$

Add 17 and 30 to get 47.

$$47$$

Factor

$$47$$