Solve (4)(0.5)^10*2^10+(-5^0)/-3div3^2

$$( 4 ) ( 0.5 ) ^ { 10 } \times 2 ^ { 10 } + \frac { ( - 5 ^ { 0 } ) } { - 3 \div 3 ^ { 2 } }$$

Evaluate

$$7$$

Solution Steps

Calculate 0.5 to the power of 10 and get 0.0009765625.

$$4\times 0.0009765625\times 2^{10}+\frac{-5^{0}}{\frac{-3}{3^{2}}}$$

Multiply 4 and 0.0009765625 to get 0.00390625.

$$0.00390625\times 2^{10}+\frac{-5^{0}}{\frac{-3}{3^{2}}}$$

Calculate 2 to the power of 10 and get 1024.

$$0.00390625\times 1024+\frac{-5^{0}}{\frac{-3}{3^{2}}}$$

Multiply 0.00390625 and 1024 to get 4.

$$4+\frac{-5^{0}}{\frac{-3}{3^{2}}}$$

Calculate 5 to the power of 0 and get 1.

$$4+\frac{-1}{\frac{-3}{3^{2}}}$$

Calculate 3 to the power of 2 and get 9.

$$4+\frac{-1}{\frac{-3}{9}}$$

Reduce the fraction \frac{-3}{9} to lowest terms by extracting and canceling out 3.

$$4+\frac{-1}{-\frac{1}{3}}$$

Divide -1 by -\frac{1}{3} by multiplying -1 by the reciprocal of -\frac{1}{3}.

$$4-\left(-3\right)$$

Multiply -1 and -3 to get 3.

$$4+3$$

Add 4 and 3 to get 7.

$$7$$

Factor

$$7$$