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Amanda [17]
3 years ago
14

If 36 Superscript 12 minus m Baseline = 6 Superscript 2 m, what is the value of m? 4 6 8 9.

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0

The value of m is 6.

<h2>Power</h2>

A power denotes the number of times a number is been multiplied by itself. For example,

6² = 6 x 6 = 36,

4³ = 4 x 4 x 4 = 64

2³ = 2 x 2 x 2 = 8

(4²)³ = 4^{2\times 3} = 4^6 = 4\times 4\times 4\times 4\times 4\times 4 = 4096

<h3>Given to us,</h3>

36^{(12-m)}=6^{2m}

As we know 6²=36, thus we can write it as,

36^{(12-m)}=6^{2m}\\6^{2(12-m)}=6^{2m}\\

As the bases on both the sides are equal, comparing the order(power) of both the sides,

2(12-m)=2m\\12-m = m\\12 =m+m\\2m=12\\m=\frac{12}{2}=6

Hence, the value of m is 6.

To know more visit:

brainly.com/question/573366

Nastasia [14]3 years ago
6 0

Answer:

m = 6

Step-by-step explanation:

36^{12-m}=6^{2m}\\\\36^{12-m}=(6^{2})^{m}\\\\\36^{12-m}=36^{m}\\

Bases are equal. so, compare the powers

12 - m = m

12 = m +m

12 = 2m

12/2 = m

6 = m

m = 6

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