What is ((11*16)^4)/(2^{24)} ?

The solution to ((11*16)^4)/(2^{24)} is 57 49/256

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Popular >

((11*16)^4)/(2^{24)}

Solution

\frac{( 11 \cdot 16 ) ^{4}}{2 ^{24}}

Solution

57 \frac{49}{256}

Solution steps

\frac{( 11 \cdot 16 ) ^{4}}{2 ^{24}}

Solve

(11 \cdot 16)^{4} : 959512576

Follow the PEMDAS order of operations

Calculate within parentheses

(11 \cdot 16) : 176

11 \cdot 16

11 \cdot 16 = 176

= 176

= 17 6^{4}

Calculate exponents

17 6^{4} : 959512576

17 6^{4}

17 6^{4} = 959512576

= 959512576

= 959512576

Solve

2^{24} : 16777216

2^{24} = 16777216

= 16777216

= \frac{959512576}{16777216}

Simplify

\frac{959512576}{16777216} : 57 \frac{49}{256}

Cancel the common factor:

65536

= \frac{14641}{256}

Convert improper fractions to mixed numbers:

\frac{14641}{256} = 57 \frac{49}{256}

\frac{14641}{256} = 57

Remainder

49

\frac{14641}{256}

Write the problem in long division format

256 \overline{∣ 14641}

Divide

1464

256

to get

5

Divide

1464

256

to get

5

5 256 \overline{∣ 14641}

Multiply the quotient digit

(5)

by the divisor

256

5 256 \overline{∣ 14641} \underline{1280}

Subtract

1280

from

1464

5 256 \overline{∣ 14641} \underline{1280} 184

Bring down the next number of the dividend

5 256 \overline{∣ 14641} \underline{1280} 1841

5 256 \overline{∣ 14641} \underline{1280} 1841

Divide

1841

256

to get

7

Divide

1841

256

to get

7

57 256 \overline{∣ 14641} \underline{1280} 1841

Multiply the quotient digit

(7)

by the divisor

256

57 256 \overline{∣ 14641} \underline{1280} 1841 \underline{1792}

Subtract

1792

from

1841

57 256 \overline{∣ 14641} \underline{1280} 1841 \underline{1792} 49

57 256 \overline{∣ 14641} \underline{1280} 1841 \underline{1792} 49

The solution for Long Division of

\frac{14641}{256}

57

with remainder of

49

57 Remainder 49

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{14641}{256} = 57 \frac{49}{256}

= 57 \frac{49}{256}

= 57 \frac{49}{256}

= 57 \frac{49}{256}

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Frequently Asked Questions (FAQ)

What is ((11*16)^4)/(2^{24)} ?
The solution to ((11*16)^4)/(2^{24)} is 57 49/256