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

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. class=

Answer :

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

[tex]\frac{3}{8}\cdot\frac{3}{8}\cdot\frac{3}{8}=\mleft(\frac{3}{8}\mright)^3[/tex]

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

[tex]\mleft(\frac{a}{b}\mright)^m=\frac{a^m}{b^m}\Rightarrow\text{ Power of a Quotient Property}[/tex]

So, we can also write:

[tex]\mleft(\frac{3}{8}\mright)^3=\frac{3^3}{8^3}[/tex]

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

[tex]\boldsymbol{\frac{3}{8}*\frac{3}{8}*\frac{3}{8}=}\mleft(\boldsymbol{\frac{3}{8}}\mright)^{\boldsymbol{3}}\boldsymbol{=\frac{3^3}{8^3}}[/tex]

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