Mathematics: Write the expression in exponential form (3 sqrt a)^2

Write the expression in exponential form (3 sqrt

Ответ:

uchechukwueigwe

15.03.2022

Mathematics

Question says to write the given expression $(3 \sqrt{a})^2$ in exponential form.

we can start by distributing outer exponent 2 using formula

(x*y)^n=x^n*y^n

Using this formula we get:

$(3 \sqrt{a})^2 = 3^2 *( \sqrt{a})^2$

$(3 \sqrt{a})^2 = 3^2 *(a^{\frac{1}{2}})^2$

because square root is equivalent to fractional exponent 1/2.

Hence required exponent form is $3^2 *(a^{\frac{1}{2}})^2$

We can simplify this too to get:

$= 9 *(a^{\frac{1}{2}})^2$

$= 9 *(a^{\frac{1}{2}*2})$

$= 9 *(a^{1)$

=9a

Hence final simplified answer is 9a.

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Ответ:

shyra94

07.12.2021

Mathematics

Speed of the first train = 365 mph

Speed of the second train = 356.2 mph

Step-by-step explanation:

Let speed of First train = a

Let speed of the second train = b

The sum of the speeds of two trains is 721.2 miles per hour.

a + b = 721.2 mph

If the speed of the first train is 8.8mph faster than that of the second train

a = b + 8.8 mph

We substitute b + 8.8 mph for a

a + b = 721.2 mph

b + 8.8 mph + b = 721.2 mph

2b + 8.8 mph = 721.2 mph

2b = 721.2 mph - 8.8 mph

2b = 712.4 mph

b = 712.4 mph/2

b = 356.2 mph

a = b + 8.8 mph

a = 356.2 mph + 8.8 mph

a = 365 mph

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Write the expression in exponential form (3 sqrt a)^2

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