Question

Prove 2(2x+4)= 16 2(2x) by using the laws of exponents. boris9

Answer 1

The prove that the equation can be verified using the laws of exponents.

What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?

It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).

It follows from the laws of indices ; particularly, the product of same base numbers.

The evaluation is therefore as follows;

2^(2x+4)= 16 • 2^(2x)

2^(2x) • 2⁴ = 16 • 2^(2x)

2^(2x) • 16 = 16 • 2^(2x)

Hence, since LHS = RHS, it follows that the expression is mathematically correct.

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