Use the properties of integer exponents to simplify the expression (3y)^0.(1 point)
(3y)^0 = 1
Is Option A or Option B the correct simplified expression of (4x^3)^3 using the properties of integer exponents?
Option A: 4x^9
Option B: 64x^9
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.
Use the properties of integer exponents to simplify the expression (−3b^4)(6b^7).(1 point)
Responses
18b^11
−18b^28
−18b^11
−18b^−3
To simplify the expression (-3b^4)(6b^7), you can combine the coefficients and add the exponents of the variable b.
-3 * 6 = -18
b^4 * b^7 = b^(4 + 7) = b^11
Therefore, the simplified expression is -18b^11.
Is Option A or Option B the correct simplified expression of (x^4)^3×(x^−4)
using the properties of integer exponents?
Option A: x^8
Option B: x^3
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.
Apply the properties of integer exponents to generate an equivalent algebraic expression to (−2x^−3)^0/4x^0
.(1 point)
To generate an equivalent algebraic expression using the properties of integer exponents for (-2x^-3)^(0/4x^0), we can use the property that any number raised to the power of zero is equal to 1, and any non-zero number divided by itself is equal to 1. Additionally, any number raised to the power of 1 is equal to itself.
Therefore, the equivalent expression is simply 1.