# Can you multiply exponents with different bases?

Table of Contents

## Can you multiply exponents with different bases?

Multiplying exponents with different bases It is possible to multiply exponents with different bases, but there’s one important catch: the exponents have to be the same. First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.

## How do you multiply numbers with different exponents?

Multiplying exponents with different bases First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.

## Can you divide exponents with different bases?

Dividing exponential expressions with different bases is allowed but poses unique problems when it comes to simplification, which can only sometimes be done.

## Which is an example of a fraction with an exponent?

Simplifying fractions with exponents. Fractions with exponents: (a / b) n = a n / b n. Example: (4/3) 3 = 4 3 / 3 3 = 64 / 27 = 2.37. Negative fractional exponents. The base b raised to the power of minus n/m is equal to 1 divided by the base b raised to the power of n/m: b-n/m = 1 / b n/m = 1 / (m √ b) n. Example:

## What happens when numerator and denominator have exponents?

What happens when the numerator, the top part of the fraction, and the denominator, the bottom part of the fraction, have exponents, meaning they are both raised to a power? For this scenario, we have a fraction that looks like the following:

## How to multiply fractions with the same fraction base?

Multiplying fractional exponents with different exponents and fractions: 2 3/2 ⋅ 3 4/3 = √ (2 3) ⋅ 3√ (3 4) = 2.828 ⋅ 4.327 = 12.237 Multiplying fractions with exponents with same fraction base:

## How to calculate the curve of fractional exponents?

Start with m=1 and n=1, then slowly increase n so that you can see 1/2, 1/3 and 1/4 Lastly try increasing m, then reducing n, then reducing m, then increasing n: the curve should go around and around