Exponents & Exponent Properties

Front

What do you do to the exponents when dividing powers with the same base?

Back

Subtract the exponents.

Front

What operation do you perform on the exponents when raising a power to another exponent?

Back

Multiply the exponents.

Front

What is the simplified form of (-3x^4y^5)^2 using only positive exponents?

Back

9x^8y^10

Front

What is the simplified form of (a^3b^2)^2?

Back

a^6b^4

Front

What is the value of 2^3?

Back

8

Front

What is the base in the expression 5^x?

Back

5 is the base.

Front

What is the exponent in the expression 7^4?

Back

4 is the exponent.

Front

What is the result of 10^0?

Back

1 (any non-zero number raised to the power of 0 is 1).

Front

How do you simplify the expression (x^2y^3)(x^3y^2)?

Back

x^(2+3)y^(3+2) = x^5y^5.

Front

What is the product of 2^3 and 2^2?

Back

2^(3+2) = 2^5 = 32.