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Mathematics

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Delicious77 [7]3 years ago

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(100 POINTS)

Sav [38]

Answer:

1. $\frac{7^8}{7^6}=49$

2. 7

3. 18

Step-by-step explanation:

Question 1:

Given:

The expression to simplify is $\frac{7^8}{7^6}$ .

We use the property of exponent $\frac{a^m}{a^n}=a^{m-n}$

Therefore, $\frac{7^8}{7^6}=7^{8-6}=7^2=7\times 7 = 49$

Question 2:

Given:

The expression to simplify is $7(\frac{1}{2}+\frac{1}{2})$ .

We add the fractions first inside the parenthesis.

So, $\frac{1}{2}+\frac{1}{2}=\frac{1+1}{2}=\frac{2}{2}=1$

Now, $7(1)=7$

Question 3:

The first five prime numbers are 1, 2, 3, 5, and 7.

Therefore, the sum of these five numbers is given as:

$1+2+3+5+7=18$

5 0

4 years ago

Read 2 more answers

What is the product of [x-(4+13i)][x-(4+13i)]

Luden [163]

Answer:

x^2 - (4+13i)^2

Step-by-step explanation:

This product has the form (a-b)(a+b), which is a 'special product' equal to a^2 - b^2. Following this pattern, [x-(4+13i)][x-(4+13i)] = x^2 - (4+13i)^2. The 2nd term could be expanded if desired, but the above result is the most compact one possible.

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3 years ago

If DEKL, then M _____ F.

galina1969 [7]

Answer:

MLEF

Step-by-step explanation:

I hope this helps...

6 0

3 years ago

The quotient of 27 less than m and twice m

masya89 [10]