Answer:
Step-by-step explanation:
start with 35 and add 1 repeatedly.
-(-2)^4 = 16
The - sign multiplies inside the bracket to a positive, 2^4 = 16
The prove that the equation can be verified using the laws of exponents.
<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>
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.
Read more on laws of exponents;
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Solve the equation
So first we subtract 8 from both sides because we apply the inverse operation.
-2x+8=-16
-8 -8
Now we apply it and re write the equation
-2x=-24
Now the inverse operation for multiplication is division, so we apply it.
-2x=-24
------------
-2 -2
We are left with x=8
So our final answer is x=8
Check our work
-2(8)+8=-16
CORRECT ANSWER. :)
Answer:18(3)
Step-by-step explanation:
