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Math help pleaseeeee

Math help pleaseeeee-example-1

2 Answers

4 votes

Answer:


x^{(4)/(5) }

Explanation:

Using the rule of exponents


a^{(m)/(n) } =
\sqrt[n]{x^(m) }


a^(m) ×
a^(n) =
a^((m+n)), hence


\sqrt[5]{x} =
x^{(1)/(5) }, thus


x^{(1)/(5) } ×
x^{(1)/(5) } ×
x^{(1)/(5) } ×
x^{(1)/(5) }

=
x^{(4)/(5) }

User Kenton
by
6.5k points
6 votes

Answer:


x^{(4)/(5) }

Explanation:

We are given the following expression and we are to determine its most simplified form:


\sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x }

We know that
\sqrt [ 5 ] { x }
= x ^ { \frac { 1 } { 5 } }

And since we have four of these like terms so the power of x will become 4, thus making it
x ^4.

When
x ^ 4 is combined with the square root 5, we get:


x^4 * x^{(1)/(5)} = x^{(4)/(5) }

User Akbolat SSS
by
6.5k points