Simplify the following exponential expression. show your work step by step and list the properties of exponents used to solve this problem next to your work. 3x^{0}(2x^{3}t^{2})^{4} (4x^{7}y^{4})^{2}

Given problem is

distribute outer exponents using formula: , we get:

Simplify exponents:

plug

simplify exponents

simplify (closure property)

simplify exponent part using formula : we get:

Simplify exponents:

send term to denominator to avoid negative exponent

Hence final answer is .

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?