# How do you multiply two exponents with the same base?

## How do you multiply two exponents with the same base?

The Product Rule for Exponents For any number x and any integers a and b, (xa)(xb) = xa+b. To multiply exponential terms with the same base, simply add the exponents.

How do you multiply exponents with the same base?

In order to multiply exponents with variables, we use the same rules that are used for numbers. For example, let us multiply y5 × y3. According to the exponent rule for multiplication with the same base, we simply add the powers. This means it will be y5 × y3 = y5 + 3 = y8.

How do you solve exponential rules?

To find the quotient of two numbers with the same base, subtract the exponent of the denominator from the exponent of the numerator. The Power Rule for Exponents: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power.

### What are the seven rules for exponents?

7 Rules for Exponents: 1. Zero Property 2. Negative Property 3. Product Property 4. Quotient Property 5. Power of a Power Property 6. Power of a Product Property 7. Power of a Quotient Property

Why do exponents distribute over multiplication?

Exponentiation distributes over multiplication because it is defined in terms of multiplication, and multiplication is commutative and associative. Any reasonable extension of exponentiation to integers, rationals, reals, or complex numbers will preserve this property.

How do you multiply and divide numbers with exponents?

If the bases of the exponents are equal in any equation then exponents must be equal. a p = a q then p = q

• a 0 = 1[since a m ÷ a m = 1 = a m-m = a 0]
• If we multiply two exponents with the same base then their powers will add.
• If we divide two exponents with the same base then their powers will subtract.
• ## Is there simpler way to multiply exponents?

Multiplication of powers with the same base. When multiplying exponents,if the bases are equal,you have to add the exponents.

• Power distribution on equal terms. If the bases are equal when dividing,then you need to subtract the exponents.
• The power of power.
• Multiply the numbers by the same indicators.
• Negative indicators.
• Zero power.