OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

@jdoe0001

3 years ago
OpenStudy (jdoe0001):

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

3 years ago
OpenStudy (jdoe0001):

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

3 years ago
OpenStudy (anonymous):

Wait I don't understand

3 years ago
OpenStudy (jdoe0001):

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

3 years ago
OpenStudy (anonymous):

Nevermind, I got it

3 years ago
OpenStudy (anonymous):

3 years ago
OpenStudy (jdoe0001):

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

3 years ago
OpenStudy (anonymous):

Okay, want me to tag youin the new one?

3 years ago
OpenStudy (jdoe0001):

sure

3 years ago