Solve 3^37=(-3)^33+[(-2)^3]^1

$$3 ^ { 37 } = ( - 3 ) ^ { 33 } + [ ( - 2 ) ^ { 3 } ] ^ { 1 }$$

Verify

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 1 to get 3.

$$3^{37}=\left(-3\right)^{33}+\left(-2\right)^{3}$$

Calculate 3 to the power of 37 and get 450283905890997363.

$$450283905890997363=\left(-3\right)^{33}+\left(-2\right)^{3}$$

Calculate -3 to the power of 33 and get -5559060566555523.

$$450283905890997363=-5559060566555523+\left(-2\right)^{3}$$

Calculate -2 to the power of 3 and get -8.

$$450283905890997363=-5559060566555523-8$$

Subtract 8 from -5559060566555523 to get -5559060566555531.

$$450283905890997363=-5559060566555531$$

Compare 450283905890997363 and -5559060566555531.

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