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marshall27 [118]
3 years ago
12

Simplify Using Laws of Exponent (4x^-2)^3

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

64*x^-6

Step-by-step explanation:

Simplify Using Laws of Exponent (4x^-2)^3

Given data

(4x^-2)^3

Let us open the bracket

=4^3*x^-2*3

=64*x^-6

=64x^-6

Hence the equivalent is

64*x^-6

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The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.

<h3>The types of transformation.</h3>

In Mathematics, there are four (4) main types of transformation and these include the following:

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<h3>What is a translation?</h3>

In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.

In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:

Original function (x, y)    →     New function (x + 2, y + 5)

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