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Burka [1]
3 years ago
5

Find the product. (y^2)^5 · y 8

Mathematics
2 answers:
storchak [24]3 years ago
7 0
(y^2)^5 *y^8 = y^10 *y^8 = y^18

hope this will help you 
Lelu [443]3 years ago
6 0

Answer:

The product of given expressions is y^{18}.

Step-by-step explanation:

The given expression is

(y^2)^5\cdot y^8

Use the properties of exponent to find the product.

(y^2)^5\cdot y^8=y^{10}\cdot y^8        [\because (x^m)^n=x^{mn}]

(y^2)^5\cdot y^8=y^{10+8}        [\because x^mx^n=x^{m+n}]

(y^2)^5\cdot y^8=y^{18}

Therefore the product of given expressions is y^{18}.

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The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?
charle [14.2K]

\bold{\huge{\pink{\underline{ Solution }}}}

<u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u>

  • <u>The </u><u>sum </u><u>of </u><u>2</u><u> </u><u>numbers </u><u>is </u><u>equal </u><u>to </u><u>1</u><u>1</u><u> </u>
  • <u>The </u><u>difference </u><u>between </u><u>two </u><u>numbers </u><u>is </u><u>1</u><u>9</u><u> </u><u>.</u>

\bold{\underline{ To \: Find }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u><u>and </u><u>y</u><u>. </u>

\bold{\underline{ Let's \: Begin }}

Let the two numbers be x and y

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

\sf{ x + y = 11......eq(1) }

\sf{ x - y = 19......eq(2) }

<u>Solving </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>get </u><u>:</u><u>-</u><u> </u>

\sf{ x + y = 11  }

\sf{ x = 11 - y ......eq(3 ) }

<u>Subsituting </u><u>eq(</u><u>3</u><u> </u><u>)</u><u> </u><u>in </u><u>eq</u><u>(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{ x - y = 19 }

\sf{ ( 11 - y) - y = 19 }

\sf{ 11 - y - y = 19 }

\sf{  11 - 2y = 19 }

\sf{ - 2y = 19 - 11  }

\sf{ - 2y = 8}

\sf{ y = 8/(-2) }

\sf{ y = - 4 }

\sf{\red{Thus ,\: the\: value\: of \: y = -4}}

<u>Now</u><u>, </u><u> </u><u>Subsitute </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>3</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{ x = 11 - y  }

\sf{ x = 11 - (-4 )  }

\sf{ x = 11 + 4  }

\sf{ x = 15 }

Hence, The value of x and y are 15 and (-4) .

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Alex Ar [27]

Answer:

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A trapezoid with bases that measure 8 inches and 11 inches has a height of 3 inches. What is the area of the trapezoid?
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Thus, the area of the trapezium is 28.5inches^2
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Answer:

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Step-by-step explanation:

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