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Raising to a power, or exponentiation, is the process of multiplying a base value b by itself the number of times given by the exponent n in the term b^n.

So, for example, $$3^4$$ is the same as $$3x3x3x3$$, which equals $$81$$.

This is spoken as “three to the fourth power” or “three to the fourth”. There are two exceptions to this: The power of two is generally called “squared” so $$3^2$$ is “three squared”. The power of three is referred to as “cubed” so $$3^3$$ is “three cubed”.

Exponents are especially useful when dealing with variables, such as $$x^3$$. There are a few rules in simplifying several variables raised to a power in one expression.

When two terms with the same base are multiplied, the exponents are added: $$\left(b^n\right)\left(b^m\right)=b^{\left(n+m\right)}$$

When raising a power to a power, the exponents are multiplied with each other: $${\left(b^n\right)}^m=b^{\left(n*m\right)}$$ In other words, if the entire expression $$b^n$$ is raised to the power of $$\text{[PARSE ERROR: Undefined("Circumflex")]}m$$, the new power of b is the product of n multiplied by m.

Any number to the power of zero equals 1, as long as the base value itself is not 0.

Enter your problem into Tiger’s calculator and the step-by-step solution will help you understand how to raise a number or an expression to a power.