Exponents and Rational

Find the missing exponent r³¹/r ^? = r¹⁷

• 14

• 4

• -14

• 48

simplify 5x³⋅2x²

• 10x⁵

• 3x

• 10x⁶

• 7x⁵

The amount of bacteria in an infection after taking medication is (1/x³)ⁿ ; where n stands for the number of hours.

Write a simplified expression that represents the amount of bacteria in an infection 4 hours after taking medication.

• (1/x³)⁴

• (1/x³)^-4

• (1/x⁷)

• 1/x¹²

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add

• subtract

• multiply

• divide

simplify the expression (5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add

• subtract

• multiply

• divide

simplify 48t⁸s⁴ ∕ 15s³t²

• 16t⁶s / 5

• 2 t¹¹s ⁶

• 2 st⁶ / 3

Find the product. Write the answer using positive exponent

8⁵ ⋅ 8^-6

• 1/8

• 64³⁰

• 1/64

• 1/16

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