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KATRIN_1 [288]
3 years ago
11

Simplify 9⁴×12³×8/6⁴×4³×54​ who will give my answer I will mark as a brainlist ​

Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

2/3

Step-by-step explanation:

Given:

9⁴×12³×8 / 6⁴×4³×54​

= (9⁴/6⁴) × (12³/4³) × (8/54)

= (9/6) × (12/4) × (8/54)

= (3/2) × (3/1) × (4/27)

= (3 × 3 × 4) / (2× 1 × 27)

= 36 / 54

= 6/9

= 2/3

9⁴×12³×8 / 6⁴×4³×54​ = 2/3

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3 years ago
4^3 * 4^4 = <br> A) 4^-1<br> B) 4^1<br> C) 4^7<br> D) 4^12
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<h2>Hello!</h2>

The answer is:

The correct option is:

C) 4^{3}*4^{4}=4^{7}

<h2>Why?</h2>

To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:

a^{m}*a^{n}=a^{m+n}

If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.

So, we are given the expression:

4^{3}*4^{4}

We can see that both powers have the same base (4), so solving we have:

4^{3}*4^{4}=4^{4+3}=4^{7}

Hence, we have that the correct option is:

C) 4^{3}*4^{4}=4^{7}

Have a nice day!

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