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irinina [24]
3 years ago
13

If (5^4)m = 5^12, what is the value of m? A.)2 B.)3 C.) 5 D.)8

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

B.) 3

Step-by-step explanation:

Exponent rule: (b^m)^n = b^{mn}

(5⁴)ⁿ = 5¹²

4n = 12

n = 3

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Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand.

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For example, how would you get rid of the parentheses here?

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2 years ago
Which equation is a point slope form equation for line AB ?
kap26 [50]

Answer:

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Step-by-step explanation:

we know that

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substitute

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<u>Answers:</u>

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