4^-1 * 4^3 * 4^1/2 + 4^-1 + 4^3/2 = ? I need help with the answer.. and how to do it.?

Just remember that to multiply, you add exponents. Are you sure you typed the question correctly?

As you wrote it: it will be (4^-1 * 4^3 * 4^1/2) + 4^-1 + 4^3/2

which can be rewritten as 4^(-1+3+1/2) + 4^-1 +4^3/2

which is 4^5/2 + 4^-1 + 4^3/2

4^5/2 is (4^5)^1/2 = 32, 4^-1 = 1/4, and 4^3/2 is (4^3)^1/2 = 8, so the answer is:

32+1/4+8 = 40 1/4

If the original question is all multiplication, let me know I’ll reword the answer.

this is pretty easy. When you have a negative number in the exponent the number is a fraction. For example: 5^-1 = 1/5, or 6^-2= 1/(6^2). Im not going to give you the answer….but i basically did.

for 4^3, it is essentially saying four-cubed, you must multiply four times itself 3 times so 4x4x4.

When you have a fraction as the exponent it is a square root or something of the sort. For example 9^1/2 is equivalent to the square root of 9 which is equal to 3.

So, moving on when you have 2^3/2, the denominator represents the square root and the numerator represents the exponent so…2^3/2 is the equivalent of the square root of 2^3, or the square root of 2x2x2. Hope that makes sense.

Also, there is an order to which you should do this equation, I see here that you have multiplication and addition. Normally you would do the equation in this order:multiplication first, division, addition, then subtraction. I hope this makes sense. Once you break down these exponents, the equation will be really easy. hope this helps.