Question

The expression 1000(1.002306)^4x shows the quarterly interest rate Patty earns after x years. Which expression shows the x isolated in the exponent in an equivalent form?

1000(0.250576)^x

1000(1.009256)^x

1000(4.009224)^x

1000(1.000576)^x

Answer 1

@jdoe0001

Answer 2

\(\large \bf { (a^{\color{brown}{ m}})^{\color{blue}{ n}}\implies a^{{\color{brown}{ m}}\cdot {\color{blue}{ n}}}\qquad thus
\\ \quad \\
1000(1.002306)^{{\color{brown}{ 4}}{\color{blue}{ x}}}\implies 1000(1.002306^{\color{brown}{ 4}})^{{\color{blue}{ x}}}
}\)

Answer 3

\(\Large \bf (a^{\color{brown}{ m}})^{\color{blue}{ n}}\implies (a)^{{\color{brown}{ m}}\cdot {\color{blue}{ n}}}\) in case it looks better

Answer 4

Wait I don't understand

Answer 5

http://www.math-play.com/image-exponents-rules.jpg <--- notice the 3rd rule listed there

Answer 6

Nevermind, I got it

Answer 7

One more question please?

Answer 8

hmm easier if you post anew, thus if I dunno someone else may, and we can revise each other

Answer 9

Okay, want me to tag youin the new one?

Answer 10

sure