Use the product rule to multiply. 3x 10x 3xy 10x y (Simplify your answer. Type an exact answer, using radicals as needed.)

Q: add and subtract but first simplify radicals-5√x2 + 3x + 8√x2

A: We simplify the radical first

Q: Find w. 7/2 yd 45° 45° Write your answer in simplest radical form. yards

A: In the triangle the hypotenuse is 7✓2 yards  And the angle are 45°, 45° and 90° .

Q: Multiply. Express the result in simplest radical form. 3/5 (V15 – 2/5)

A: 3√5(√15 - 2√5) To express the given expression in simplest radical form

Q: Rationalize the denominator. As 4 1 15.3 125xy 4 %3D 125x 153

A:

Q: Multiply and simplify by factoring. V10 • /35 =O (Type an exact answer, using radicals as needed.)…

A:

Q: SIMPLIFY THE FOLLOWING RADICALS V64x60 y14 z4 а. V81x20yl7 3 b.

A:

Q: 5. V32m 4.

A:

Q: Rewrite with rational exponents: V5xy 5/a b b. a. 2

A: We have to rewrite the rational exponents: a.  5xy4b.  a3b25 We know the properties of exponents,…

Q: Rationalize the denominator. 13x | 29y V377xy (Type an exact answer, using radical as needed.) 13x…

A: Here the term is similar to ab. To rationalize the denominator we should follow the procedure like,…

Q: 11. 2xy 24x*y'z

A: We use tree method to factor this radical

Q: Simplify the radical expression if possible 5√(64x6) . 5√2x

A: The given expression is 564x6·52x

Q: Find j. 60° 30° Write your answer in simplest radical form. units 2.

A: The triangle is given by To evaluate : The value of j

Q: Simplify the radical expressions.

A:

Q: Simplify the product. V3• /27 V3. V27 =O (Type an exact answer, using radicals as needed.)

A: This question is based on simplification of root.

Q: Multiply and leave your answer in radical form. V2· V7

A: Radical Form: If n is a positive integer that is greater than 1 and a is a real number then, an=a1n,…

Q: Find the value of x. Leave in radical form. 45° 8 8/2

A:

Q: Find z. 60° 30° Write your answer in simplest radical form. units

A: We have to find the value of z in above triangle

Q: 43. V-27x3

A:

Q: Use radical notation to write the expression. Simplify if possible. (3x + 1)2/7

A: first we find the notation expression

Q: Use the product rule to multiply. Assume that all variables represent positive real numbers. 8X 3.5…

A: Solution

Q: Multiply and simplify. Write your answer using radical notation. 3 6, 9ab° V3a°b

A: We need to compute the multiplication of  9ab34 and 3a6b. Which can be Re-Written as 9ab34 3a6b  =…

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (x2 + 1)2

A: Consider the given expression, x2+12 The square of sum formula is A+B2=A2+2AB+B2 By comparing the…

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (x + 3y)(x - 3y)

A: To simplify: (x + 3y)(x - 3y)

Q: Simplify the radical expression by rationalizing the denominator. V3 + V2 V3 - V2

A: We have to simplify

Q: Rewrite with rational exponents: (V13xy). а. b.

A: Given: a. 753b. 13xy49 To Find: To rewrite with rational exponents to the given expressions.

Q: Use the product rule to multiply. 口 (Simplify your answer. Type an exact answer, using radicals as…

A:

Q: Use rational exponents to write as a single radical expression. 4/.4.5 Vx'y ху 3 ху Vxy 4.4,5 Vx'y 3…

A:

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (2y + 5)(2y - 5)

A: 2y+52y-5

Q: 4 V 162xy

A:

Q: Simplify the radical using the Product Property. Assume that all variables can be any real number.

A: The given expression is  c83.

Q: 1. 720 2. V200 3. V525

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (2y + 5)2

A: Consider the expression: 2y+52 ……1

Q: Simplify the radical expressions if possible. ∛ x4

A: To simplify the radical expression, x43

Q: (Type an exact answer, using x and radicals as needed.) zX + 91 16 + x2 Evaluate -4 xp xp

A:

Q: Multiply the algebraic expression using a Special Product Formula, and simplify. (3y - 1)2

A:

Q: Use synthetic division to divide x + 3x2 remainder 2x +3 by x – 1 Give your answer in the form…

A:

Q: Vy! 13

A: Given,          y13

Q: Find z. 30° 28/3 60° Write your answer in simplest radical form. units

A: Triangle Question

Q: Use a special product formula to find the product. (Simplify your answer completely.) (2/3y − 4)^2

A: Here , we will use special product formula to simplify the problem.

Q: 2V256a b*c* 3

A: We're going to solve

Q: Use radical notation to write the expression. Simplify if possible. 7x3/10

A:

Q: simplify the radical √36x^2y^3

A:

Q: Vi can be rewritten without a radical in the denominator by multiplying the numerator and…

A: Given: 75 To eliminate the radical in the denominator, multiply the numerator and denominator with…

Q: Simplify by factoring. V40 =O (Type an exact answer, using radicals as needed.) V40

A: Prime factorisation

Q: Find w. 30° /3 60° Write your answer in simplest radical form. units

A: The triangle is given by

Q: 5x*y• 10xy

A:

Q: Simplify by rationalizing the denominator. V5 (Type an exact answer, using radicals as needed.) V5

A:

Q: 2) Rationalize the denominator and write the answer in a simplified radical form. 25x VB+V3

A: 25x8+3 25x23+325x22+325x22+3×22-322-3 25x22+355x22+3

Q: Add or subtract if possible. 143x + 35 - V 14 + 33x - (Type an exact ansver, using radicals as…

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.