Is Option A or Option B the correct simplified expression of (4x3)3 using the properties of integer exponents?
Option A: 4x9
Option B: 64x9
Enter 1 for Option A or 2 for Option B.(1 point)
The correct simplified expression of (4x^3)^3 using the properties of integer exponents is Option B: 64x^9.
Therefore, you should enter 2 for Option B.
Use the properties of integer exponents to simplify the expression (−3b4)(6b7).(1 point)
Responses
−18b28
negative 18 b superscript 28 baseline
18b11
18 b superscript 11 baseline
−18b11
negative 18 b superscript 11 baseline
−18b−3
Using the properties of integer exponents, we can simplify the expression (-3b^4)(6b^7) as follows:
(-3b^4)(6b^7) = (-3)(6)(b^4)(b^7) = -18b^(4+7) = -18b^11.
Therefore, the simplified expression is -18b^11.
You should enter 4 for the correct response: 18 b superscript 11 baseline.
Is Option A or Option B the correct simplified expression of (x4)3.(x−4) using the properties of integer exponents?
Option A: x8
Option B: x3
Enter 1 for Option A or 2 for Option B.(1 point)
The correct simplified expression of (x^4)^3 * (x^-4) using the properties of integer exponents is Option A: x^8.
Therefore, you should enter 1 for Option A.
Apply the properties of integer exponents to generate an equivalent algebraic expression to (−2x−3)04x0.(1 point)
To generate an equivalent algebraic expression to (-2x^-3)^4 * x^0 using the properties of integer exponents, we can simplify it step by step:
First, we raise the base (-2x^-3) to the fourth power:
(-2x^-3)^4 = (-2)^4 * (x^-3)^4 = 16 * x^(-3 * 4) = 16 * x^-12.
Next, we simplify x^0, which is equal to 1:
16 * x^-12 * x^0 = 16 * x^-12 * 1 = 16 * x^-12 = 16/x^12.
Therefore, an equivalent algebraic expression to (-2x^-3)^4 * x^0 is 16/x^12.
You should enter 16/x^12 for the answer, which is not among the provided options.