Exploring Exponent Properties in Algebra

What is the result of multiplying two exponential expressions with the same base?

• You subtract their exponents.

• You add their exponents.

• You divide their exponents.

• You multiply their exponents.

If you have an expression raised to an exponent and then raised to another exponent, what do you do with the exponents?

• Multiply them.

• Divide them.

• Subtract them.

• Add them.

How do you simplify x^5 * x^3 / x^12?

• x^8

• x^0

• x^-4

• x^4

What is the simplified form of (x^-3)^4 * (x^5)^3?

• x^15

• x^3

• x^8

• x^12

What is 2^-1 equivalent to?

• 2

• 1/2

• 1/4

• 4

How do you express 4^-3 as a fraction?

• 1/64

• 1/16

• 1/8

• 1/4

What is 1/9 written as a whole number raised to a negative power?

• 9^-2

• 3^-1

• 3^-2

• 9^-1

How do you rewrite 1/1000 as a whole number raised to a negative power?

• 100^-1

• 10^-3

• 1000^-1

• 10^-2

What is the simplified form of 2^x / 8?

• 2^(x-3)

• 2^(x+3)

• 2^(x-2)

• 2^(x+2)

Which of the following is equivalent to 25 * 5^x?

• 5^(x+2)

• 5^(x+3)

• 5^(x+4)

• 5^(x+5)