Question

Which expression is equivalent to
2^0 x 2^-2/2^-7
A. 2^4
B. 0
C. 2^9
D. 2^5

Answer 1

Which expression is equivalent to
(3^-4 • 3^-6)^4
A. 3^96
B. 3^-44
C. 3^40
D. 3^-40

Answer 2

Which expression is equivalent to (4^2)^0 x 4^3
A. 4
B. 0
C. 1/64
D. 64

Answer 3

Which expression is equivalent to
4^-3 x 4^-2/4^-3
A. 4^-2
B. 4^-8
C. 4^-3
D. 4^2

Answer 4

To simplify the expression 2^0 x 2^-2/2^-7, we can rewrite 2^0 as 1 and use the rule of exponents that states when dividing two numbers with the same base, we subtract their exponents.

Therefore, 2^0 x 2^-2/2^-7 is equal to 1 x 2^(0 - (-2))/2^-7.

Simplifying further, we have 1 x 2^2/2^-7 = 2^2/2^-7.

Using the rule of exponents again, we subtract the exponents: 2^(2 - (-7)) = 2^9.

Therefore, the expression 2^0 x 2^-2/2^-7 is equivalent to 2^9.

The correct answer is C. 2^9.

Answer 5

To simplify the expression (3^-4 • 3^-6)^4, we can combine the exponents of 3 to simplify.

First, we multiply the 3^-4 and 3^-6:

(3^-4 • 3^-6) = 3^(-4 + -6) = 3^-10

Then, we raise this result to the power of 4:

(3^-10)^4 = 3^(-10 * 4) = 3^-40

Therefore, the expression (3^-4 • 3^-6)^4 is equivalent to 3^-40.

The correct answer is D. 3^-40.

Answer 6

To simplify the expression (4^2)^0 x 4^3, we can evaluate each exponent first.

(4^2)^0 = 4^0 = 1

Now that we have 1, we multiply it by 4^3:

1 x 4^3 = 4^3 = 64

Therefore, the expression (4^2)^0 x 4^3 is equivalent to 64.

The correct answer is D. 64.

Answer 7

To simplify the expression 4^-3 x 4^-2/4^-3, we can use the rule of exponents that states when dividing two numbers with the same base, we subtract their exponents. Similarly, when multiplying two numbers with the same base, we add their exponents.

First, let's simplify the numerator:
4^-3 x 4^-2 = 4^(-3 + -2) = 4^-5

The denominator is 4^-3.

Now, we can rewrite the expression as:

4^-5/4^-3

Using the rule of exponents for division, we subtract the exponents:

4^(-5 - (-3)) = 4^(-5 + 3) = 4^-2

Therefore, the expression 4^-3 x 4^-2/4^-3 is equivalent to 4^-2.

The correct answer is A. 4^-2.