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gwendallinesikes

gwendallinesikes

13.08.2020 •

Mathematics

Simplify: (x²y³z⁻³)⁷(xy⁴)

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Ответ:

volocibel

31.01.2022

$\huge\boxed{\frac{x^{15}y^{25}}{z^{21}} }$

Step-by-step explanation:

$(x^2y^3z^{-3})^7(xy^4)\\$

Expanding Parenthesis

$(x^{2*7 } y^{3*7}z^{-3*7})(xy^4)\\x^{14}y^{21}z^{-21} * xy^4$

Combining like terms

$x^{14} * x * y^{21} * y^4 * z^{-21}$

When bases are same , powers are to be added

$x^{14+1} y^{21+4} x^{-21}$

$x^{15} y^{25} z^{-21}$

Neutralizing the negative sign by shifting z to the denominator

$\frac{x^{15}y^{25}}{z^{21}}$

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Ответ:

krissymonae

31.01.2022

$\huge \boxed{ \frac{x^{15} y^{25}}{z^{21} } }$

Step-by-step explanation:

$(x^2 y^3 z^{-3})^7 (xy^4)$

$\sf Apply \ exponent \ rule : (a^b)^c=a^{bc}$

$(x^{2 \times 7} y^{3 \times 7} z^{-3 \times 7})(xy^4)$

$(x^{14} y^{21} z^{-21})(xy^4)$

$x^{14} \times y^{21} \times z^{-21} \times x \times y^4$

$\sf Apply \ exponent \ rule : a^b \times a^c=a^{b+c}$

$x^{14} \times x^1 \times y^{21} \times y^4 \times z^{-21}$

$x^{14+1} \times y^{21+4} \times z^{-21}$

$x^{15} \times y^{25} \times z^{-21}$

$\displaystyle \sf Apply \ exponent \ rule : a^{-b} =\frac{1}{a^b}$

$\displaystyle x^{15} \times y^{25} \times \frac{1}{z^{21} }$

$\displaystyle \frac{x^{15} y^{25}}{z^{21} }$

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Ответ:

edson23

25.05.2020

9514 1404 393

a = 17∠ABC = 78°

Step-by-step explanation:

The marked angles form a linear pair, so have a sum of 180°.

(4a +10) +(6a) = 180

10a = 170 . . . . . . . . . . subtract 10

a = 17 . . . . . . . . . . . . . divide by 10

__

Then the measure of angle ABC is ...

∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'

∠ABC = 78°

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