Tools

Tools

AI Essay Writer Grammar Checker Paraphrasing Tool Proofreader Spell Checker Plagiarism Checker Summarizer

Physics AI Chemistry AI Biology AI Math AI Calculator

How do you simplify #(7d^-6)(-4d^-2)#?

Answer 1

Hazel Anglin

#-28/d^8#

To multiply #d^-6# and #d^-2#, you only have to add their exponents together (Law of Indices). Also, to remove the negative sign from the exponent, you simply have to get the reciprocal of the base.

#(7d^(−6))(−4d^(−2))#

#=(7)*(-4)⋅(d^(-6+(-2)))#

#=(-28)*(d^-8)#

#=(-28)*(1/d^8)#

#=color(blue)(-28/d^8)#

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer 2

Avery Alexander

Avery Alexander

To simplify (7d^-6)(-4d^-2), you can apply the laws of exponents. When multiplying expressions with the same base, you add the exponents. Therefore:

(7d^-6)(-4d^-2) = 7 * (-4) * d^(-6 + (-2)) = -28 * d^(-8) = -28/d^8

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Trending questions

Not the question you need?

Answer Background

HIX Tutor

Solve ANY homework problem with a smart AI

98% accuracy study help
Covers math, physics, chemistry, biology, and more
Step-by-step, in-depth guides
Readily available 24/7