What is solution to 12²-5²

Mathematics

1 answer:

expeople1 [14]3 years ago

6 0

Answer:

119.

Step-by-step explanation:

12x12 is 144

5x5 is 25

144-25 = 119

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Simplify.<br> Rewrite the expression in the form b^n<br><br> (b^3)^2

Alexxandr [17]

Step-by-step explanation:

$a^n={\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}$

<h2>METHOD 1.</h2>

$\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=\underbrace{b\cdot b\cdot b}_{3}\cdot\underbrace{b\cdot b\cdot b}_{3}=\underbrace{b\cdot b\cdot b\cdot b\cdot b\cdot b}_{6}=b^6$

<h2>METHOD 2.</h2>

$\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=b^{3+3}=b^6\qquad\text{used}\ a^n\cdot a^m=a^{n+m}$

<h2>METHOD 3.</h2>

$\left(b^3\right)^2=\left(\underbrace{b\cdot b\cdot b}_{3}\right)^2=b^2\cdot b^2\cdot b^2=b^{2+2+2}=b^6\\\text{used}\ (ab)^n=a^nb^n,\ a^n\cdot a^m=a^{n+m}$