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Sagot :

Answer:

You use the powe of a product law of exponents to combine the exponents; this law says to add the exponents

Explanation:

Volume = Length x width x Height

The given expression for the volume is:

Volume = (4x - 1)(x)(x³)

The product law of exponents states that "if we multiply two factors with the same base raised to an exponent together, their exponents can be added"

Note that x and x³ are of the same base, the their product will be x^(3+1), which will be x⁴

The volume will then become:

Volume = (4x - 1)x⁴

Distributing x⁴ over the expression, we have:

Volume = 4x⁵ - x⁴

Therefore, this makes sense because you use the powe of a product law of exponents to combine the exponents; this law says to add the exponents