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Popular >

simplify ((x^{22})^x)^3+1

Solution

simplify

((x^{22})^{x})^{3} + 1

Solution

x^{66 x} + 1

Solution steps

((x^{22})^{x})^{3} + 1

Apply exponent rule:

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

assuming

a \geq 0

(x^{22})^{x} = x^{22 x}

= (x^{22 x})^{3} + 1

Apply exponent rule:

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

assuming

a \geq 0

(x^{22 x})^{3} = x^{22 x \cdot 3}

= x^{22 x \cdot 3} + 1

Multiply the numbers:

22 \cdot 3 = 66

= x^{66 x} + 1

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Frequently Asked Questions (FAQ)

What is ((x^{22})^x)^3+1 ?
The solution to ((x^{22})^x)^3+1 is x^{66x}+1