Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.  ^4 square root 32x^4y^5/2x^8y

Q: Express 64 in simplest radical form.

A: Given, 64126412=8212=82=8

Q: Express in simplest radical form. V72

A: It is known that  72=6×6×2    =62×2

Q: Rationalize the denominator. 5 / (√3 - 1)

A: To Rationalize the denominator: multiply numerator  and denominator by the conjugate of the…

Q: rationalize the denominator and simplify. All variables represent positive real numbers. √3/(2 √5 +…

A: Rationalization In elementary algebra, rationalization is a process by which radicals in the…

Q: Express 16 in simplest radical form.

A: If n and x are positive integers and a is a real number then axn=axn  Write the given expression in…

Q: Express 27 in simplest radical form.

A: the simplest form is given by removing the powers .

Q: Rationalize the denominator.

A: Rationalize the denominator.          15-3

Q: Solve for x. (금)- = 7776 %3D

A: Consider the equation 16x=7776 Here, the objective is to solve the equation for x.

Q: Rationalize the denominator. (√5 + √3)/(√5 - √3)

A: Rationalize the denominator:                             (5+35-3)   Rationalizing the denominator…

Q: Simplify and express with positive exponents,  (25X8 Y-6)1/2

A:

Q: Find the exact value of the expression. Not a decimal. csc ^-1 (-2 square root of 3/3)

A:

Q: Simplify and express with positive 3 exponents: (2x)-3

A: To simplify:  3(2x)-3 Laws of negative exponents states that a-n=1an and power of product rule…

Q: Express in simplest radical form. (125x6)

A: The given expression is: 125x653   As we know from the exponent rules; 1). a·bn=anbn 2). abc=abc,…

Q: Rationalize the numerator.

A: We have to rationalize the numerator: x+1-x To rationalize we need to multiply and divide by x+1+x,…

Q: Express in simplest radical form. V75

A: Factorize the radicand 75, and express it as a product of primes. 75=3×25=3×5×5=3×52 Thus, 75=3×52.…

Q: express as a single fraction involving positive exponents only. x-2 + y-1

A: Given: x-2+y-1 Formula Used: a-m=1amab+cd=ad+bcbd

Q: Simplify: Numerator 6x2y-8xy2 over denominator 4xy

A: Simplify the given expression as follows.

Q: Rationalize the denominator : √2/√3

A: The given expression 23

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 3 √6/(5 √3…

A: Given :             3653 - 42   To rationalize the denominator and simplify.

Q: Rewrite using a single positive exponent.

A: Given: 4-37

Q: Express with positive exponents only. Then simplify, if possible. (1/4)-3

A: Here, we apply the rule of exponents x^(-m)=1/x^m on the given expression as shown on board.

Q: 4- 3

A: To rationalise the denominator multiply by the conjugate of the denominator in denominator and…

Q: rationalize the denominator of the expression

A:

Q: Describe about scientific notation.

A:

Q: The sum of 3.8 x 106 metric tons and 2 x 106 metric tons is subtracted from 2.26 x 10° metric tons…

A:

Q: Rewrite using a single exponent.

A:

Q: 9x° V6x – 3v6x7

A: Given that : 9x3√(6x) - 3√(6x7) Write in simplest radical form.

Q: Rationalize the denominator.

A: Given expression is 32-5. To rationalize the denominator. Solution: We rationalize the denominator…

Q: Use your Exponent Rules to Simplify 7,3 4: 2xy³ 22 2a*y z 4,4 2x y10 25 ,5,105 2.x° y 23 6x° y10 25

A:

Q: use scientific notation and the properties of exponents to help with the calculations. √0.000009

A: Let the given value be y -y = 0.000009y = 91000000y = 32106y = 32106y = 321210612y = 32×12106×12…

Q: rationalize the numerator of the expression

A:

Q: Rationalize the denominator of:      10…

A: Given:

Q: Rationalize the denominator: 1 3

A:

Q: Rationalize the denominator. Assum even poweTS. 3 6)· 8 - /2

A: We need to rationalize the denominator for the following expression 38-2

Q: Rationalize the denominator

A: 1a3-b3

Q: ) Rationalize the denominator of

A:

Q: Rationalize the denominator: (7 + 4√2) / (2 - 5√2)

A: Given fractions is 7+422-52

Q: Assume that the stopping distance of a van varies directly with the square of the speed. A van…

A: Let stopping distance be 'd' speed be 'v' and proportionality constant be 'x' According to question,…

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 6/(√5 + 2)

A:

Q: Simplify and express with positive exponents: 4s-3

A: Exponents means the power raised to a term. Such term is called base. These exponents can be…

Q: 30) Simplify and express with positive exponents: 4x2

A: Our Aim is to simplify and express with positive exponents  of the expressiongiven below:-4x-2  -(i)

Q: 3+5 3-5

A: To rationalize the denominator

Q: Write in lowest terms without zero or negative exponents:

A: To write in lowest terms without zero or negative exponents: x6y-5z8x-6y4z-1-13

Q: Express in simplest radical form. (125x6

A:

Q: rationalize the denominator and simplify. All variables represent positive real numbers. 3/(√3 +…

A:

Q: Rationalize the denominator. 11/3 - 3/2 3/2-2/3

A:

Q: Describe what is meant by rationalizing the denominator.

A: Rationalizing the denominator means to eliminate the radical expressions from the denominator. We…

Q: Express 273 in simplest radical form.

A: We are given 275/3  And is to be converted in simplest radical form.