# Algebra

Simplify each expression. Assume that no denominators are zero. Write each answer without using negative exponents.

The ^'s mean they're exponents

y^-3y^-4y^0
------------ <- division
(2y^-2)^3

numerator: y^-3y^-4y^0 = y^(-3-4)= y^-7

denominator: 2^3 * y^-6 = 8y^-6

numerator/denom= y^-7/8y^-6= 1/8 * y^(-7+6)

= 1/8 y^-1= 1/(8y)

I would multiply the denominator by itself three times, then move the terms with negative exponents up or down, changing the sign of the exponent, then combine terms. I hope this helps.

1. 👍
2. 👎
3. 👁
1. 7/8y-6=8

1. 👍
2. 👎

## Similar Questions

1. ### Algebra

Use the properties of exponents to simplify the following expression. Write the answer in scientific notation. (5.6x10^5) (9.9x10^-8) divided by (8.4x10^-4) (5x10^6) =28.9x10^-1 I added 5.6 9.9 8.4 5 5+-8+-4+6+ -1

2. ### Algebra

My answer *** What is the product of (–6.8)2? a. –13.6 b. 46.24*** c. –46.24 d. 13.6 2. Simplify the expression - Square root 196 . a. 98 b. –14*** c. 14 d. 392 3. Simplify the expression square root 100/49 . a. 10/7 b.

Perform the indicated operations and simplify the result. Leave your answer in factored form. 1) x/16 - 1/x all over 1 + 4/x A) x+4/16 B) x-4/16 C) 16/x+4 D) 16/x-4 E) -16/x+4 I chose answer C. I saw this as x^2-16/ x+4. Multiply

4. ### Math

Simplify the expression. Write your answer using only positive exponents. Explain as well. 1. (8x)^3*8^-4 2. 2x^-5*y^-3 3. (4x^4y^-3)^-2 4. 1/(3x)^-2

1. ### Algebra

Simplify the expression. Assume that all variables represent positive numbers. Write your answer without using negative exponents. (343x^-6y/8y^-8x^6)^-2/3

2. ### Applied Calculus......

Rewrite the expression using positive exponents only. (Simplify your answer completely.) (x^3-y^3)(x^-3+y^-3)

Simplify each expression. Assume all variables are positive. 1) 3 sqrt2 - 8 sqrt128 I think you subtract the 3 from the 8 but I do not know what else to do. 2) Simplify expression. Answer should have only positive exponents. (8x^3

4. ### Alegbra

Use properties of exponents to simplify the given expression. First express the answer in exponential form. Then evaluate the expression. 3^2 3^3=

1. ### Algebra (check my answers)

Please check these answers. Multiply -7(2a2 -4) = -14a2 + 28 Multiply 0.5(a + b -5) = 0.5a + 0.5b - 2.5 Factor bx - by + bz = b(x - y + z) Combine like terms (simplify) 12x + 4 - 11y - 6x - 9 - y = 6x - 12y - 5 Evaluate the

2. ### Algebra 2

Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide a third expression to simplify that includes rational

3. ### Algebra

Simplify the expression. Write the answer without negative exponents. (4a^3b^3)(4ab^2)^2

4. ### algebra

Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide the class with a third expression to simplify that