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2 years ago

8

Simplify the following. Express your answer with positive exponents

1 answer:

oksano4ka [1.4K]2 years ago

8 0

On simplification, the expression is 15b^10/a^5

Step-by-step explanation:

Step 1: Use the laws of exponents to solve this. a^m · a^n = a^m+n and a^m ÷ a^n = a^m-n.
Answer is shown in attachment.

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A City's population rose 3% one year, 0.08 the next year, and by 2/50 the next year. Order these increases from least to greates

Mariulka [41]

3%, 2/50, 0.08 is ur answer!!

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2 years ago

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

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3 years ago

State the necessary value of nn that will make each statement true.<br> 0.0004 × 0.002 = 8 × 10^n

vodka [1.7K]

Answer:

$-7 = n$

Step-by-step explanation:

$0,002 \times 0,0004 = 0,0000008$

$0,0000008 = 8 \times {10}^{-7}$

* You must make sure that you have seven zeros in your decimal.

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3 years ago

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Tju [1.3M]

Answer:

hello : 6.23x10^14 > 8.912x10^12^12

Step-by-step explanation:

let : A= 6.23x10^14 and B = 8.912x10^12

A= (6.23x10^2) x10^12 ... because : 10^14 = 10^2x10^12

A = 623 x 10^12

623 > 8.912

so : A > B

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3 years ago

What is the length of AC?

Elan Coil [88]

well, the triangle is an isosceles, so it twin sides, and the twin sides make twin angles, as we see by the tickmarks on A and C, meaning AB = BC.

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3 years ago

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