Write each root using exponents and evaluate \sqrt[4]{-81}

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: The symbol V is used to denote the nonnegative, or square root of a number.

A:

Q: Write the number positioned at point A.

A: According to the given information it is required to write the number positioned at A on given…

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: Write v-180 in simplest radical form.

A:

Q: Write v-28 in simplest radical form.

A:

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

A:

Q: simplify the radical  square root of (18x) to the 11th power

A: Given: the square root of (18x) to the 11th power     To determine: The simplified form of the…

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: mplily (as+. a*): as-1

A:

Q: Simplify the radical. Assume that all variables represent positive real numbers. 155

A:

Q: Express numbers in exact, simplest form. (x-6)² +: = 1 4

A:

Q: Rationalize the denominator of each expression and simplify. V5

A:

Q: simplify the radical of square root of 216

A: To simplify the radical of square root of 216

Q: -4x* 2. (-x²)3

A: We can simplify the given question as below

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: Simplify. Assume

A: cubic root(3) is common in both. So add both the term.  Kindly follow the image. attached.

Q: 4- 3

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

Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A:

Q: Express in simplest radical form. V40

A: We have to express in simplest radical form √40

Q: Simplify using only positive exponents

A:

Q: Express in terms of i radical sign -9 underneath

A:

Q: Express 303 in simplest radical form.

A: Simplification

Q: Simplify by reducing the index of the radical.

A: To simplify: x46 We know that, xan=xa1n=xa×1n=xan Therefore, simplifying the given expression:…

Q: Simplify. Write your answers without exponents.

A:

Q: Express with positive exponents only. Then simplify, if possible. x-4/y-2

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

Q: simplify each expression. Express final results without using zero or negative integers as…

A: To simplify the expression: (x2y-6)-1 Solution: (x2y-6)-1 On simplifying further we get:…

Q: Express in simplest radical form. V48

A: Consider the given radical number, 48 To find the simplest radical form first find the prime factors…

Q: Write each root using exponents and evaluate\sqrt[7]{128}

A: the given expression is: \sqrt[7]{128} that implies the given expression is: 1287 we have to write…

Q: Write 5x7 in radical form.

A: Introduction: In mathematics, a radical is the inverse of an exponent, which is represented by the…

Q: Write as a Vm3 single radical using the smallest possible root.

A: The expression is given as m83m5 Write as a single radical using the smallest possible root.

Q: Write the number as a product of a real number and I Square root of -80

A: This question can be solved by applying the concept of a.b=a×b

Q: Rewrite using only positive, rational exponents.

A:

Q: Express in simplest radical form. V54

A: To express √54 in simplest radical form.

Q: Use rational exponents to simplify each radical. Assume that all variables represent positive…

A: x4y48=x4y418 Using the identity- a·bm=am·bm x4y418=x418y418

Q: Rationalize the numerator.

A: The given expression is 1-53

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

A: Given number is 233

Q: Evaluate each expression. \left(5-3^{2}\right)\left(\sqrt{16}-2^{3}\right)

A: Since,it is known that a square root of any number "a" is "b",such that b2=a,Here it is observed…

Q: Express in simplest radical form. (125x6

A:

Q: Express 0.45 as a rational number in its simplest form

A: See the attachment

Q: Write the expression in radical form

A:

Q: Express in simplest radical form. V18

A: Express in simple radical form 18

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

A:

Q: Write 2e2ip/3 as a complex number in standard form.

A: we have to write the equation  2e2π/3 in polar form.  By Euler form we get eiθ=cosθ+isinθ

Q: Express 100 in simplest radical form.

A: Any expression that contains a radical sign, , is called as a radical expression. The expression,…

Q: Express 273 in simplest radical form.

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

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.