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3 years ago

2/3 of the product of 3/8 and 16

Mathematics

2 answers:

asambeis [7]3 years ago

5 0

First find the product (multiply) of 3/8 x 16=6 then find 2/3 of 6= 4 amswer is 4 hope this helps

hjlf3 years ago

4 0

3/8 of 16 = (16 / 8) x 3
= 2 x 3
= 6

2/3 of 6 = (6 / 3) x 2
= 2 x 2
= 4

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Need some help please.

melomori [17]

Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

<h3>What are the Rules of Exponents?</h3>

Some of the rules of exponents to be applied are as follows:

$x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\$

<h3>What are Equivalent Expressions?</h3>

If two expressions have the same value, both are said to be equivalent expressions.

1. $3^2 \times 3^{-5} = 3^{2 - 5}\\\\$

$3^-3 = \frac{1}{3^3} = \frac{1}{27}$

Answer: H

2. 3³/6² = 27/36 = 3/4

Answer: R

3. $\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}$

Answer: M

4. 7²/7² = 49/49 = 7° = 1

Answer: J

5. 8^-2 = 1/8² = 1/64

Answer: A

6. (4²)(4³) = 4^(2 + 3) = $4^5$

Answer: L

7. (3²)³ = 3²*³ = $3^6$

8. 4° × 4^-1 = 1 × 1/4 = 1/4

Answer: E

9. $\frac{(2^4)^3}{(2^7)(2^5)} = \frac{2^{12}}{2^{12}}$ = 1

Answer: U

10. $(3^2)^{-1} = 3^{-2}$

Answer: I

11. $1^{98}$ = 1

Answer: D

12. $y^{10} \div y^5 = y^{10 - 5} = y^5$

Answer: F

13. $8^{-2} \times 8^4 = 8^{(-2 + 4)}$ = 8² = 64

Answer: S

14. $2^{-3} \times 3^{-2} =$ 1/2³ × 1/3² = 1/8 × 1/9 = 1/72

Answer: O

15. $\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1$

Answer: N

16. $(\frac{1}{2} )^{-1} = (2^{-1})^{-1}$ = 2

Answer: T

Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.

Learn more about the rules of exponents on:

brainly.com/question/12140519

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