Solve ((- 2) ^ 10) / ((- 2) ^ 15) + 1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(-2)^{10}\div(-2)^{15}+1$$

Evaluate

$\frac{31}{32}=0.96875$

Solution Steps

Rewrite $\left(-2\right)^{15}$ as $\left(-2\right)^{10}\left(-2\right)^{5}$. Cancel out $\left(-2\right)^{10}$ in both numerator and denominator.

$$\frac{1}{\left(-2\right)^{5}}+1$$

Calculate $-2$ to the power of $5$ and get $-32$.

$$\frac{1}{-32}+1$$

Fraction $\frac{1}{-32}$ can be rewritten as $-\frac{1}{32}$ by extracting the negative sign.

$$-\frac{1}{32}+1$$

Convert $1$ to fraction $\frac{32}{32}$.

$$-\frac{1}{32}+\frac{32}{32}$$

Since $-\frac{1}{32}$ and $\frac{32}{32}$ have the same denominator, add them by adding their numerators.

$$\frac{-1+32}{32}$$

Add $-1$ and $32$ to get $31$.

$$\frac{31}{32}$$

Factor

$\frac{31}{2 ^ {5}} = 0.96875$