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3 years ago

For which value of m is the equation below true? x^m x^4=x^8? A m=4. B m=12. C m=32. D m=2

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{m+n}$ , thus

Given

$x^{m}$ × $x^{4}$ = $x^{8}$ , that is

$x^{4+m}$ = $x^{8}$

Since the bases are the same equate the exponents

4 + m = 8 ( subtract 4 from both sides )

m = 4 → A

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30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.

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Answer:

A = 76.85

B =65.28

Step-by-step explanation:

(30/100)A = 10 + (20/100)B

0.3A - 0.2B = 10 ...... equation (i)

(30/100)B + 35 = (20/100)A

0.2A - 0.3B = 35 ........ equation (ii)

From equation (i)

0.3A = 10 - 0.2B

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A = 33.33 - 0.67B ........equation (iii)

Put equation (iii) into equation (ii)

0.2(33.33 - 0.67B) - 0.3B = 35

6.67 - 0.134B - 0.3B = 35

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A:C

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Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec

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Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴ = 2⁽³⁻⁴⁾

2³ × 2⁻⁴ = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

$2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5$

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

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