Simplify the exponential expression: (2x^2y^4)^3

Mathematics

2 answers:

mars1129 [50]2 years ago

8 0

I think the answer is 8x^6y12

viva [34]2 years ago

7 0

Answer:

8x^6y^12

Step-by-step explanation:

Hope that's right!!

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Airida [17]

Answer:

7.2 *10⁻⁵

Step-by-step explanation:

Given the diameter of the hair expressed as 0.000072, we are to express it in scientific notation.

The standard form of scientific notation is expressed as;

A * 10ⁿ

A is a value from 1 to 9

n is any integer.

Rewriting 0.000072 in this form, we will need to shift the decimal point to the front 5 times to have;

0.000072 = 7.2 *10⁻⁵ where;

A = 7.2 and n = -5

Note that the power is a negative value since the value is less than 1.

8 0

3 years ago

Right triangles and trigonometry help!

Maslowich

Step-by-step explanation:

$sin \: 45 \degree = \frac{39}{z} \\ \\ \therefore \: \frac{1}{ \sqrt{2} } = \frac{39}{z} \\ \\ \therefore \: z = 39 \sqrt{2} \\ let \: p \: be \: the \: perpendicular \: \\ \\\therefore \: tan \: 45 \degree = \frac{39}{p} \\ \\ \therefore \:1 = \frac{39}{p} \\ \\ \therefore \:p = 39 \\ \\ sin \: 60 \degree = \frac{39}{x} \\ \\ \therefore \: \frac{ \sqrt{3} }{2} = \frac{39}{x} \\ \\ \therefore \: x = \frac{78}{ \sqrt{3} } \\ \\ \therefore \: x = \frac{78 \sqrt{3} }{ 3 } \\ \\ \therefore \: x = 26 \sqrt{3} \\\\tan\: 60 \degree = \frac{39}{y} \\ \\ \therefore \: \sqrt{3} = \frac{39}{y} \\ \\ \therefore \: y = \frac{39}{ \sqrt{3} } \\ \\ \therefore \: y= \frac{39 \sqrt{3} }{ 3 } \\ \\ \therefore \: y = 13 \sqrt{3} \\$