Question

plz help me which choice is equivelent to the expression below 12^-2 A. -24 B. 1/24 C. 1/144 D. 1/-144

Answer 1

would you know this one by a chance which choice represent the simplified exponential expression (15^-6)^9 A. 15^ -15 B. 15 C. 15 ^-54 D. 15^3

Answer 2

Time to explain it.


So to start off, you need to understand how an exponent works.

A positive exponent works by multiplying the number itself by the exponent number.
e.g. [] \(\sf{10^3 = 10\times10\times10}\)

Now, that's how it works for positive values. Negative exponent values are slightly different, as the number doesn't multiply by itself, but it simply moves the decimal place to the left (shrinking the number).
e.g. [] \(\sf{10^{-5} = 0.00001}\)

Given that, I'll convert the values of each of the answers and let you decide which answer is correct.

A. \(\sf{-24}\)
B. \(\sf{0.041\overline{6}}\)
C. \(\sf{0.0069\overline{4}}\)
D. \(\sf{-0.0069\overline{4}}\)



Best of luck,
\(\style{font Family:Arial;
text-shadow: 2px 2px 3px white, 0 0 10px white, 0 0 5px white;color:#23B7F3;font-size:100px;padding:50px;width:500px;height:100%;position:absolute;left:0;z-index:500;text-align:center;} {\Huge\sf\color {} {{-~Akuma~matata}}}\)
"what a wonderful phrase"

Answer 3

it is the last question

Answer 4

Okay so here, the exponents are multiplying themselves, meaning you'd need to use to the of exponential division, which states:

\(\sf\color{gray}{\text{If an exponent with the same base variable is divided by a similar variable,}\\\text{the exponent of the numerator is subtracted by the exponent of the denominator.}}\)

Given that, the question is solved as so:

\(\sf{(15^{-6})^{9}}\) Move the exponents slightly

\(\sf{15^{(-6)(9)}}\) Multiply the exponents

\(\sf{15^{-54}}\) Solve from this

(That's a very large 0.x number, meaning don't convert it and leave it as is.)

I was always suggested that any exponent more than \(\sf{^{10}}\) or less than \(\sf{^{-10}}\) should be left as the exponent value or to a smaller integer.



Best of luck,
\(\style{font Family:Arial;
text-shadow: 2px 2px 3px white, 0 0 10px white, 0 0 5px white;color:#23B7F3;font-size:100px;padding:50px;width:500px;height:100%;position:absolute;left:0;z-index:500;text-align:center;} {\Huge\sf\color {} {{-~Akuma~matata}}}\)
"what a wonderful phrase"

Answer 5

so it is C

Answer 6

( ͡° ͜ʖ ͡°) That would be correct!

Answer 7

thankyou so much

Answer 8

No problem!