Can someone help with this please

Mathematics

2 answers:

DanielleElmas [232]3 years ago

7 0

Answer:

Step-by-step explanation:

3^8 * 3^4

ـــــــــــــــــــــ

3^2 * 3^8 =

3^(8+4)

ـــــــــــــــــــــ

3^(2+8) =

3^12

ـــــــــــــــــــــ

3^10 =

3^2

crimeas [40]3 years ago

5 0

Answer:

$3^2$

Step-by-step explanation:

$\frac{3^8*\:3^4}{3^2*\:3^8}$

Apply Exponent rule: $a^b\cdot \:a^c=a^{b+c}$

$\frac{3^{12}}{3^8* \:3^2}$

$\frac{3^{12}}{3^{10}}$

Apply exponent rule: $\frac{x^a}{x^b}=x^{a-b}$

$3^{12-10}=3^2$

You might be interested in

If z=3−5i, find |z|.

geniusboy [140]

Answer:

Step-by-step explanation:

The absolute value of z is the distance between the point graphed from the complex number and the origin on a complex plane. In a complex plane, the x axis is replaced by R, real numbers, and the y axis is replaced by i, the complex part of the complex number. Our real number is positive 3 and the complex number is -5, so we go to the right 3 and then down 5 and make a point. Connect that point to the origin and then connect the point to the x axis at 3 to construct a right triangle that has a base of 3 and a length of -5. To find the distance of the point to the origin is to find the length of the hypotenuse of that right triangle using Pythagorean's Theorem. Therefore:

$|z|=\sqrt{(3)^2+(-5)^2}$ and