How to simplify this without using fractions in the power? We didn't learn to rationalize with fractions in our school. (xx)3⋅3xx3=x4x56

Step 1 Simplify the powers and cancel out the common terms from both the sides. (xx)33(x3x=x4x56) x3(x)33(x3x=x4x56) x3(xxx)3(x3x=x4x56) (x4x)3(x3x=x4x56) Step 2 Cancel out the common factors from both the sides and simplify the radicals. (x4x)3(x3x=x4x56) 3(x)(xx)(x)=x56 3(x2)(x)=x56

"How to simplify this without using fractions in..." was answered by students like you

Ernstfalld

Answered question

2021-09-15

How to simplify this without using fractions in the power? We didn't learn to rationalize with fractions in our school.
$(x \sqrt{x})^{3} \cdot 3 \sqrt{x \sqrt[3]{x}} = x^{4} \sqrt[6]{x^{5}}$

Answer & Explanation

liannemdh

Skilled2021-09-16Added 106 answers

Step 1
Simplify the powers and cancel out the common terms from both the sides.
$(x \sqrt{x})^{3} 3 (\sqrt{x^{3} \sqrt{x}} = x^{4} \sqrt[6]{x^{5}})$
$x^{3} (\sqrt{x})^{3} 3 (\sqrt{x^{3} \sqrt{x}} = x^{4} \sqrt[6]{x^{5}})$
$x^{3} (\sqrt{x} \sqrt{x} \sqrt{x}) 3 (\sqrt{x^{3} \sqrt{x}} = x^{4} \sqrt[6]{x^{5}})$
$(x^{4} \sqrt{x}) 3 (\sqrt{x^{3}} \sqrt{\sqrt{x}} = x^{4} \sqrt[6]{x^{5}})$
Step 2
Cancel out the common factors from both the sides and simplify the radicals.
$(x^{4} \sqrt{x}) 3 (\sqrt{x^{3}} \sqrt{\sqrt{x}} = x^{4} \sqrt[6]{x^{5}})$
$3 (\sqrt{x}) (x \sqrt{x}) (\sqrt{\sqrt{x}}) = \sqrt[6]{x^{5}}$
$3 (x^{2}) (\sqrt{\sqrt{x}}) = \sqrt[6]{x^{5}}$

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Pre-Algebra

Didn't find what you were looking for?