Question

What is the simplest form of the number?

Answer 1

\[49^{-1.5}\]

Answer 2

I don't know what the simplest form is. But I knwo that 49^-1.5 = 0.0029.

Answer 3

I'm only in Algebra I.

Answer 4

:3

Answer 5

yeah i got the same but its not a choice lol

Answer 6

if you have a negative exponent, you
a) take exponent
b) take the reciprocal

so the anwser would be 1/49^1.5

Answer 7

1.5 is the same as 1 1/2
or 3/2

if you have the exponent of a fraction, first take the power of the numerator
then take the square of the denominator

Answer 8

hmmm what would be the rational form for the decimal 1.5?

Answer 9

\(\bf 1.5 = 1 + 0.5 \implies \cfrac{2}{2} + \cfrac{1}{2} \implies \cfrac{3}{2}\\\quad \\
\large 49^{-1.5} \implies 49^{-\frac{3}{2}}\)

Answer 10

the complete answer with all steps would be something like
\[\frac{ 1 }{ \sqrt{49^{3}} }\]

i give no guarentee that it's correct, but you have to put everything
together

Answer 11

keep in mind that \(\bf \large { a^{\frac{n}{m}} = \sqrt[m]{a^n}\\\quad \\
a^{-n} = \cfrac{1}{a^n}\\a^{-\frac{n}{m}} = \cfrac{1}{a^{\frac{n}{m}}} \implies \cfrac{1}{\sqrt[m]{a^n}}\\\quad \\
}\)