Question

A) a^32:a^18 b) (-32x^8):4x^7

Answer 1

Ответ:

а^32/а^18 = а^32-18 = а^14

(-32х^8) /4х^7 = -32/4 х^8-1 = -8х

Answer 2

To simplify each of these expressions, you can use the rules of exponentiation.

A) $a^{32} : a^{18}$

When dividing two terms with the same base (in this case, both have a as the base), you subtract the exponent in the denominator from the exponent in the numerator:

$a^{32} : a^{18} = a^{32 - 18} = a^{14}$

So, the simplified expression is $a^{14}$.

B) $-32x^8 : 4x^7$

First, simplify the numerical part of the expression:

$-32 : 4 = -8$

Now, simplify the variable part of the expression by subtracting the exponents of x:

$x^8 : x^7 = x^{8 - 7} = x^1 = x$

So, the simplified expression is $-8x$.