Question

Use the product rule of exponents to simplify the expression 13^10 * 13^4.
responses
a. 13^14
b. 13^40
c. 169^14
d. 169^40

Answer 1

An expression was simplified to 24^12. which expression correctly used the product rule of exponents to simplify?
responses
a. 12^4 * 12^8
b. 24^3 * 24^4
c. 24^4 * 24^8
d. 6^4 * 4^3

Answer 2

the correct answer is c. 24^4 * 24^8

Answer 3

find the numerical equivalent of 8^1 * 8^3
responses

a. 512
b. 4,096
c. 8^4
d. 520

Answer 4

that answer is incorrect

Answer 5

simplify k^120/k^30.
responses

a. k^150
b. k^90
c. k^4
d. 90

Answer 6

will you double check your answer

Answer 7

find the missing number in this simplified exponential expression: 15^? divide 15^7 = 15^12.
responses

a. 5
b. -5
c. -19
d. 19

Answer 8

what is the value of (8.2)^0 + 4.3?
responses
a. 12.5
b. 3.3
c. 5.3
d. 4.3

Answer 9

what is the value of 13- (1/4)^0?
responses
a. 13
b. 12.75
c. 14
d. 12

Answer 10

which of the following expressions is equal to 193^0 + 4/3 (10 - 7 * 4^0) ?
responses

a. 193+4/3(10-7*1)
b. 40/3
c. 5
d. 193 + 4/3(10-7*4)

Answer 11

Use the power rule of exponents to simplify the expression (7^3)^9.
responses

a. 7^27
b. 21^9
c. 7^6
d. 7^12

Answer 12

use the power rule of exponents to simplify the expression (24^2)^5.
responses

a. 24^10
b. 48^5
c. 24^7
d. 24^3

Answer 13

To simplify the expression 13^10 * 13^4 using the product rule of exponents, we add the exponents together. Thus, we have 13^(10+4) = 13^14.

Therefore, the correct answer is:
a. 13^14

Answer 14

To simplify the expression 24^12 using the product rule of exponents, we add the exponents together. None of the given options correctly use the product rule of exponents to simplify the expression 24^12.

The correct answer is none of the above.

Answer 15

Apologies for the mistake. You are correct.

To simplify the expression 24^12 using the product rule of exponents, we add the exponents together. Thus, we have 24^(4+8) = 24^12.

Therefore, the correct answer is:
c. 24^4 * 24^8

Answer 16

To find the numerical equivalent of 8^1 * 8^3, we multiply the bases (8) and add the exponents (1 + 3 = 4). So, 8^1 * 8^3 = 8^4.

Therefore, the correct answer is:
c. 8^4

Answer 17

I apologize for the mistake. Let's correct it.

To find the numerical equivalent of 8^1 * 8^3, we multiply the bases (8) and add the exponents (1 + 3 = 4). So, 8^1 * 8^3 = 8^(1 + 3) = 8^4.

The numerical equivalent of 8^1 * 8^3 is 8^4, which is equal to 4,096.

Therefore, the correct answer is:
b. 4,096

Answer 18

To simplify k^120/k^30, we subtract the exponents in the numerator and denominator. Thus, we have k^(120-30) = k^90.

Therefore, the correct answer is:
b. k^90

Answer 19

Certainly! Let's double-check the answer.

To simplify k^120/k^30, we can subtract the exponents in the numerator and denominator. So, we have k^(120-30) = k^90.

Therefore, the correct answer is:

b. k^90

After reviewing it again, the correct answer is indeed b. k^90.

Answer 20

To find the missing number in the simplified exponential expression 15^? / 15^7 = 15^12, we can use the quotient rule of exponents. According to the quotient rule, when dividing two exponential expressions with the same base, we subtract the exponents. So, we have 15^(? - 7) = 15^12.

To make the exponent on the left side of the equation match the exponent on the right side, we need to set ? - 7 equal to 12. Solving for ?, we find that ? = 12 + 7 = 19.

Therefore, the correct answer is:
d. 19

Answer 21

The value of any number raised to the power of 0 is always 1. Therefore, (8.2)^0 = 1.

So, the expression (8.2)^0 + 4.3 simplifies to 1 + 4.3 = 5.3.

Therefore, the correct answer is:
c. 5.3

Answer 22

Any non-zero number raised to the power of 0 is always 1. Thus, (1/4)^0 = 1.

Therefore, the expression 13 - (1/4)^0 simplifies to 13 - 1 = 12.

Therefore, the correct answer is:
d. 12

Answer 23

To find the expression that is equal to 193^0 + 4/3 (10 - 7 * 4^0), we need to simplify each part of the expression.

First, any number (except for 0) raised to the power of 0 is always 1. Hence, 193^0 = 1.

Next, let's simplify the other part of the expression: 4/3 (10 - 7 * 4^0). Since exponentiation takes precedence over multiplication and multiplication takes precedence over addition and subtraction, the order of operations dictates that we first evaluate the exponentiation (4^0) which equals 1. So, 4/3 (10 - 7 * 4^0) simplifies to 4/3 (10 - 7 * 1) = 4/3 (10 - 7) = 4/3 (3) = 12/3 = 4.

Adding the simplified parts together, 193^0 + 4 equals 1 + 4 = 5.

Therefore, the correct answer is:
c. 5

Answer 24

To simplify the expression (7^3)^9 using the power rule of exponents, we multiply the exponents together. Thus, we have 7^(3*9) = 7^27.

Therefore, the correct answer is:
a. 7^27

Answer 25

To simplify the expression (24^2)^5 using the power rule of exponents, we multiply the exponents together. Thus, we have 24^(2*5) = 24^10.

Therefore, the correct answer is:
a. 24^10