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3 years ago

What is the value of y in the product of powers below?

Mathematics

1 answer:

lilavasa [31]3 years ago

4 0

Answer:

y = 0

Step-by-step explanation:

8^(3-5) = 8^-2

in this operation we have already the result, so y = 0.

In fact 8^0 = 1 and a number multiplied by i1 give the number itself

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Solve 5x^2-2=-12 by taking the square root

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Answer:

x = ±i√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

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Imaginary root i

i = √-1

Step-by-step explanation:

Step 1: Define

Identify

5x² - 2 = -12

Step 2: Solve for x

[Addition Property of Equality] Add 2 on both sides: 5x² = -10
[Division Property of Equality] Divide 5 on both sides: x² = -2
[Equality Property] Square root both sides: x = ±√-2
Rewrite: x = ±√-1 · √2
Simplify: x = ±i√2

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