Question

Writing each expression using exponents.Question 4.5.c.2.c.1.16. s.6.s.s.6.6.s7. 8.x.2.2.2.x. 88. a :(-4).b.a.b.(-4).(-4)9. Ž.n.4.n.š.n.4.410. 9.9.x.w .x.y.w.9.y

Answer 1

As you can see, the fraction 3/8 is multiplying 3 times by itself. Then we can write:

`(3)/(8)\cdot(3)/(8)\cdot(3)/(8)=\mleft((3)/(8)\mright)^3`

And since it is a fraction, we can use the Power of a Quotient Property.

`\mleft((a)/(b)\mright)^m=(a^m)/(b^m)\Rightarrow\text{ Power of a Quotient Property}`

So, we can also write:

`\mleft((3)/(8)\mright)^3=(3^3)/(8^3)`

Therefore, if we write the given expression using exponents, we have:

`\boldsymbol{(3)/(8)*(3)/(8)*(3)/(8)=}\mleft(\boldsymbol{(3)/(8)}\mright)^{\boldsymbol{3}}\boldsymbol{=(3^3)/(8^3)}`