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Popular >

simplify 8^{4/3}*8^{2/5}

Solution

simplify

8^{\frac{4}{3}} \cdot 8^{\frac{2}{5}}

Solution

32 \cdot 2^{\frac{1}{5}}

+1

Decimal Notation

36.75834 \dots

Solution steps

8^{\frac{4}{3}} \cdot 8^{\frac{2}{5}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

8^{\frac{4}{3}} \cdot 8^{\frac{2}{5}} = 8^{\frac{4}{3} + \frac{2}{5}}

= 8^{\frac{4}{3} + \frac{2}{5}}

\frac{4}{3} + \frac{2}{5} = \frac{26}{15}

= 8^{\frac{26}{15}}

Factor the number:

8 = 2^{3}

= (2^{3})^{\frac{26}{15}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{3 \cdot \frac{26}{15}}

3 \cdot \frac{26}{15} = \frac{26}{5}

= 2^{\frac{26}{5}}

2^{\frac{26}{5}} = 2^{5 + \frac{1}{5}}

= 2^{5 + \frac{1}{5}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 2^{5} \cdot 2^{\frac{1}{5}}

2^{5} = 32

= 32 \cdot 2^{\frac{1}{5}}

Popular Examples

∣ 6 y + 3 ∣ + 8 = 35

x^2+x=2*60*(4.5)/1

x^{2} + x = 2 \cdot 60 \cdot \frac{4.5}{1}

∣ x ∣ = - 11

factor x^2-z^2 factor

x^{2} - z^{2}

4 m^{2} - 27 m - 40 = 0

Frequently Asked Questions (FAQ)

What is 8^{4/3}*8^{2/5} ?
The solution to 8^{4/3}*8^{2/5} is 32*2^{1/5}