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sukhopar [10]
3 years ago
11

Simplify this expression.

" title="\frac{4^{9} }{4^{3} }" alt="\frac{4^{9} }{4^{3} }" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Step2247 [10]3 years ago
6 0

Answer:

4⁹ / 4³ = 4⁶ = 4096

Step-by-step explanation:

You can solve this by realising that exponents (the 9 and the 3 in this case), simply tell you how many times to multiply the numbers together.

What you're see there then can also be expressed as:

\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4}

Because the numerator and denominator are all multiples of the same number repeatedly, you can simply eliminate the bottom three fours from the top and bottom, giving you:

\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times (4 \times 4 \times 4)}{(4 \times 4 \times 4)}\\\\= 4 \times 4 \times 4 \times 4 \times 4 \times 4

4 \times 4 \times 4 \times 4 \times 4 \times 4

A simpler way to look at it is to understand that when the same number is being raised to different bases, and then multiplied or divided, you can simply add or subtract the exponents.  For example, speaking very generically:

x^a \times x^b = x^{a + b}

and

x^a \div x^b = x^{a - b}

In this case then, we can simply say:

\frac{4^9}{4^3} = 4^{9 - 3} = 4^6

So when simplified, the expression is equal to 4⁶, or 4096.

gogolik [260]3 years ago
3 0

9x9x9x9divide by 4x4x4

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The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The total number of students that are in the orchestra, the band, and the choir is 126.

<h3>What is Addition?</h3>

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

There are 32 students in the orchestra and twice that number in the band. Therefore the number of students in the band is:

Number of students in band = 2 (Number of students in Orchestra)

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Learn more about Addition:

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