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Calculate the value
Answer
$\dfrac { 9 a ^ { 2 } } { 16 }$
Arrange the rational expression
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \times \dfrac { 3 } { 4 } a a$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } \times \dfrac { 3 } { 4 } a a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 1 } \times \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } a a$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 1 } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } a a$
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } } a a$
$ $ Add the exponent as the base is the same $ $
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } a a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } a a$
$ $ Add $ 1 $ and $ 1$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { \color{#FF6800}{ 2 } } a a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } a$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } a$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { 1 } \color{#FF6800}{ a }$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { 1 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } }$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Add $ 1 $ and $ 1$
$\left ( \dfrac { 3 } { 4 } \right ) ^ { 2 } a ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ \dfrac { \color{#FF6800}{ 3 } } { \color{#FF6800}{ 4 } } } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 16 } } }$
Solution search results
Which of the following rational numbers are
equivalent?
$0Ptionsy$
A \frac{5}{6}, \frac{30}{36}
B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $
C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $
D \frac{1}{2},\frac{3}{8}
7th-9th grade
Other
Search count: 5,909
Can you answer this?
$20$ $25$
$18$
$\left($
$\left(A\right)$ $A\right)2$
$21frac\left(5\right)\left(9\right)$ \)
$\left(B\right)$ $B\right)$ $1\left(211$
$\left(C\right)$ $1\left(21$ $21+rac\left(7\right)+9\right)$ \)
$\left(D\right)$ $1\left(2\right)$ 2\frac{8}{9}
$ac\left(8\right)\left(9\right)$ \) $9:18PM\sqrt{} $
1st-6th grade
Algebra
Search count: 1,480
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