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Popular >

simplify 3^n0.3^n0.2^n0.2^n

Solution

simplify

3^{n} 0. 3^{n} 0. 2^{n} 0. 2^{n}

Solution

0.03 6^{n}

Solution steps

3^{n} \cdot 0. 3^{n} \cdot 0. 2^{n} \cdot 0. 2^{n}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

3^{n} \cdot 0. 3^{n} \cdot 0. 2^{n} \cdot 0. 2^{n} = (3 \cdot 0.3 \cdot 0.2 \cdot 0.2)^{n}

= (3 \cdot 0.3 \cdot 0.2 \cdot 0.2)^{n}

Multiply the numbers:

3 \cdot 0.3 \cdot 0.2 \cdot 0.2 = 0.036

= 0.03 6^{n}

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Frequently Asked Questions (FAQ)

What is 3^n0.3^n0.2^n0.2^n ?
The solution to 3^n0.3^n0.2^n0.2^n is 0.036^n