Question

Simplify the exponential equation.

Answer 1

Answer: The answer is the last one

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

Which makes b5 j2 j4.

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

Which gets you to b5 x j6.

So the last one is the answer

Answer 2

Answer:

$b^5 * j^6$

Step-by-step explanation:

Well we can use the exponential identity: $x^a*x^b=x^{a+b}$

The base must be the same for this to work.

So let's combine like bases: $(b^2*b^3)*(j^2*j^4)$

We can simplify b^2 * b^3 using this identity to get: b^(2+3) = b^5

This gives us the equation: $b^5*(j^2*j^4)$

But to take a deeper look as to why this identity holds, let's represent b^2 and b^3 by what it really means: $(b * b) * (b * b * b)$, so this is really just: $b * b * b * b * b$ which can be simplified as an exponent: $b^5$, hopefully this helps you understand intuitively why this identity makes sense.

So using this identity, we can simplify j^2 * j^4 to j^6

This gives us the equation: $b^5 * j^6$