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Nonamiya [84]
4 years ago
11

Simplify (x5/8)2/3 look at the picture

Mathematics
2 answers:
LUCKY_DIMON [66]4 years ago
7 0

Answer:

x^{\frac{5}{12} }

Step-by-step explanation:

In the question given we use the law of exponents;

(a^{b})^{c} = a^{bc}

If a base a is raised to a power b and the entire expression raised to a power c, the resulting expression is simply equal to the base a raised to the product of the two exponents b and c, that is bc.

In the case given,

a = x

b = 5/8

c = 2/3

To simplify the expression we simply multiply b and c;

bc = 5/8 * 2/3

     = 5/12

The simplified expression is thus;

x^{\frac{5}{12} }

Ira Lisetskai [31]4 years ago
7 0

Answer:

The correct answer is ((x⁵/⁸)²/³) = x⁵/¹²

Step-by-step explanation:

<u>Points to remember:-</u>

<u>Identity</u>

(xᵃ)ᵇ = xᵃᵇ

Here it is given that, ((x⁵/⁸)²/³)

<u>To find the value of ((x⁵/⁸)²/³)</u>

(5/8) * (2/3) =  (5 * 2) /(8 * 3) = 10/24 = 5/12

By using identity (xᵃ)ᵇ = xᵃᵇ we can write,

((x⁵/⁸)²/³) = x⁽⁵/⁸⁾ˣ⁽²/³⁾

= x⁵/¹²    

Therefore the correct answer is ((x⁵/⁸)²/³) = x⁵/¹²

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