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Popular >

simplify 970*2^{11/4}

Solution

simplify

970 \cdot 2^{\frac{11}{4}}

Solution

3880 \cdot 2^{\frac{3}{4}}

+1

Decimal Notation

6525.35618 \dots

Solution steps

970 \cdot 2^{\frac{11}{4}}

2^{\frac{11}{4}} = 2^{2} \cdot 2^{\frac{3}{4}}

= 2^{2} \cdot 970 \cdot 2^{\frac{3}{4}}

Factor integer

970 = 2 \cdot 485

= 2 \cdot 485 \cdot 2^{2} \cdot 2^{\frac{3}{4}}

Apply exponent rule:

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

2 \cdot 2^{2} \cdot 2^{\frac{3}{4}} = 2^{1 + 2 + \frac{3}{4}}

= 485 \cdot 2^{1 + 2 + \frac{3}{4}}

2^{1 + 2 + \frac{3}{4}} = 2^{3} \cdot 2^{\frac{3}{4}}

= 2^{3} \cdot 485 \cdot 2^{\frac{3}{4}}

2^{3} = 8

= 485 \cdot 8 \cdot 2^{\frac{3}{4}}

Multiply the numbers:

485 \cdot 8 = 3880

= 3880 \cdot 2^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is 970*2^{11/4} ?
The solution to 970*2^{11/4} is 3880*2^{3/4}