Exponent Rules and Scientific Notation

A number raised to a power of zero, like 4⁰, is always...

• 0

• 1

• 10

• a

When you multiply two numbers with the same base, like (x⁵)(x³), you _____ their exponents.

• Subtract

• Multiply

• Divide

• Add

When you divide two numbers with the same base, like b³/b², you _____ their exponents.

• Multiply

• Divide

• Subtract

• Add

When you raise a number to a power and then raise it to another power, like (4²)⁵, you ______the exponents.

• Multiply

• Divide

• Subtract

• Add

When a number has a negative exponent, like 5^-4, it is the same as...

• -5⁴

• 4^-5

• 1/5⁴

• 1/5^-4

When you multiply two numbers with different bases but the same exponents, like 3³x 5³, you can simplify it by...

• Multiplying the bases but keeping the exponent the same to get 15³.

• Multiplying the bases and adding the exponents to get 15⁶.

• Adding the bases and keeping the exponents the same to get 8³.

• Doing the hokey pokey and turning yourself around.

Simplify: (6⁷)(6⁷)

• 6⁰

• 6⁴⁹

• 36⁷

• 6¹⁴

Simplify: a⁴/a²

• a⁶

• a²

• a⁸

Simplify: 1,009,876⁰

• 1/1,009,876

• 0

• 1,009,876

• 1

Simplify: (x⁷)³

• x²¹

• x¹⁰

• x⁴