# What is the rule for multiplying exponents?

## What is the rule for multiplying exponents?

Exponent rules chart

Name of rule Rule
Product of power Add powers together when multiplying like bases, am × an = am+n
Quotient of powers Subtract powers when dividing like bases, am ÷ an = am-n
Power of a power Multiply powers together when raising a power by another exponent, (am)n = amn

## Do you add or multiply exponents when multiplying?

Multiplying exponents You can only multiply terms with exponents when the bases are the same. Multiply the terms by adding the exponents. For example, 2^3 * 2^4 = 2^(3+4) = 2^7. The general rule is x^a * x^b = x^(a+b).

## Which is an example of an exponents rule?

Exponents rules and properties Rule name Rule Example Product rules a n ⋅ a m = a n+m 2 3 ⋅ 2 4 = 2 3+4 = 128 Product rules a n ⋅ b n = ( a ⋅ b) n 3 2 ⋅ 4 2 = (3⋅4) 2 = 144 Quotient rules a n / a m = a n-m 2 5 / 2 3 = 2 5-3 = 4 Quotient rules a n / b n = ( a / b) n 4 3 / 2 3 = (4/2) 3 = 8

## When to write base and subtract exponents?

QUOTIENT RULE: To divide when two bases are the same, write the base and SUBTRACT the exponents. 3. ZERO EXPONENT RULE: Any base (except 0) raised to the zero power is equal to one. ˝ ˛ 4. POWER RULE: To raise a power to another power, write the base and MULTIPLY the exponents. Examples: A. B. ˘ ˘ C. ” ” ˝ 5.

## How many laws of exponents are there in math?

There are in general six laws of exponents in Mathematics. Exponents are used to show, repeated multiplication of a number by itself. For example, 7 × 7 × 7 can be represented as 73.

## Which is the exponent for the number 7?

Here, the exponent is ‘3’ which stands for the number of times the number 7 is multiplied. 7 is the base here which is the actual number that is getting multiplied. So basically exponents or powers denotes the number of times a number can be multiplied. If the power is 2, that means the base number is multiplied two times with itself.

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