Simplify:

Multiply the coefficients.

2x5 =10

Next, add exponents of like bases.

Bring down the y^3

**Multiplying Negative Exponents**

**Multiplying Fractions with Exponents**

**Multiplying Terms with Fractional Exponents**

**Multiplying negative exponents**

Simplify:

When the bases are the same add the exponents, remember your sign number rules!

When the bases are different, you can’t combine exponents. Leave the terms!

**Multiplying terms with fractional exponents**

Simplify: x^(1/2)*x^(3/5)

When the bases are the same add the exponent (remember to find common denominators)

x^(1/2)*x^(3/5)

x^ (1/2 + 3/5)

x^ (5/10 + 6/10) = x^ (11/10)

When the bases and exponents are different, you cannot combine.

x^(3/4)*y^(4/5)

**Multiplying fractions with exponents**

Simplify:

(1/2 )^3* (1/2 )^2

If the bases are the same add the exponents

(1/2 )^3* (1/2 )^2 = ( 1/2 )^5

When the bases are different, but the exponents are the same,group the bases together, and the exponent remains unchanged.

(1/2 )^3 *(3/4 )^3

(1/2 )^3*(3/4 )^3 = (3/8 )^3

When both your bases, and exponents are different, then evaluate each term first, then multiply together.

(2/3)^2 * (3/4)^3

(4/9) * (27/64) = (4*27/9x64) =(3/16)

When an exponent expression is raised to a power, multiply the exponent and the power together.

Do NOT "distribute" Exponents over addition. Use the order of operations, and add, then raise to the power.

For example: (4 + 2)^3 is NOT 4^3 + 2^3, but rather (4 + 2)^3 IS (6)^3.

When multiplying exponents terms with coefficients, multiply the coefficient, and add the exponents with the same bases.

When multiplying **exponents by 0** or **raising an exponent to the 0 power**, the answer is always 1!

(9x^3y^5)0= 1

**When multiplying exponent’s terms inside parentheses**, you add the exponents because the operation is multiplication.

(a^4*a^5*a^2) = (a^11)

**Common Core Standard: 8.EE.A.1**

**8th Grade Math**

What are the rules for multiplying exponents?

Multiplying exponents with the same base.

If the bases are the same, then you can simply add the exponents.

X * X =X or y * y = Y

Multiplying exponents with different bases.

If the bases are different, you can not multiply exponents.

For example,

x^3 *y^4 = You cannot combine because of the different bases.

### Multiplying exponents raised to a power

# Multiplying Exponents

### Applying the rules for multiplying exponents