Exponent Rules Unit Test

Answer 1

Exponent rules can be applied when working with expressions involving exponents. These rules help simplify and manipulate expressions to make them easier to solve or work with. The exponent rules include:

1. Product Rule: When multiplying two terms with the same base, add the exponents. For example, a^m x a^n = a^(m+n).

2. Quotient Rule: When dividing two terms with the same base, subtract the exponents. For example, a^m / a^n = a^(m-n).

3. Power Rule: When raising a power to another power, multiply the exponents. For example, (a^m)^n = a^(m*n).

4. Zero Exponent Rule: Any non-zero number raised to the power of zero is equal to 1. For example, a^0 = 1.

5. Negative Exponent Rule: A number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent. For example, a^(-n) = 1/a^n.

Now, let's try some practice questions to test your understanding of these exponent rules.

1. Simplify the expression: (2^3)^2.
a. 64
b. 8
c. 16
d. 32

2. Simplify the expression: (4^2) x (4^3).
a. 64
b. 128
c. 256
d. 512

3. Simplify the expression: 5^4 / 5^2.
a. 5^6
b. 5^8
c. 5^2
d. 25

4. Simplify the expression: (3^2)^-3.
a. 81
b. 1/9
c. 1/81
d. 9

5. Simplify the expression: (6^2)^0.
a. 1
b. 12
c. 0
d. 36

Now, let's see how well you did!

Answer Key:
1. a. 64
2. c. 256
3. c. 5^2
4. c. 1/81
5. a. 1

Answer 2

use the product rule of exponents to simplify 5^10 . 5^5 1 point

Answer 3

Bot use the product rule of exponents to simplify 5^10 . 5^5 1 point

Answer 4

BOT i need help