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Exercise

$\left(\sqrt[9]{-1}\right)\cdot\left(-2^3\right)-14$

Step-by-step Solution

1

The product of powers of the same base is equal to the base raised to the sum of the exponents: $a^m\cdot a^n=a^{m+n}$

${\left(-1\right)}^{\left(\frac{1}{9}+1\right)}\cdot 2^3-14$
2

Simplify the addition $\frac{1}{9}+1$

$\sqrt[9]{\left(-1\right)^{10}}\cdot 2^3-14$
3

Calculate the power $2^3$

$0\cdot 8-14$
4

Multiply $0$ times $8$

$0-14$
5

Subtract the values $0$ and $-14$

$-14$

Final answer to the exercise

$-14$

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Main Topic: Radical Expressions

Radical expressions are those expressions that include a radical, which is the symbol for calculating a root.

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