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Step-by-step explanation:

Product Rule of Exponents aman = am + n

When multiplying exponential expressions that have the same base, add the exponents.

Example:

Multiply: 4x3 · −6x2

Solution:

Multiply coefficients: 4 · −6 = −24

Use the product rule to multiply variables : x3 · x2 = x3 + 2 = x5

4x3 · −6x2 = −24x5

this simply means that when multiplying indices the exponents must be added and the whole numbers will be multiplied in the normal way

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

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