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3 years ago

4^5*7^10 RAISED TO SINGLE POWER

Mathematics

1 answer:

Westkost [7]3 years ago

8 0

<h3>Answer: 4^15</h3>

Explanation:

The rule used is

a^b*a^c = a^(b+c)

Basically you add the exponents. This only applies if the bases are both the same. In this case, they're both 4 so the rule works out.

Using the rule, we get

a^b*a^c = a^(b+c)

4^5*4^10 = 4^(5+10)

4^5*4^10 = 4^15

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Answer:

(-3, 5)

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
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x + 8

x + y = 2

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: x + x + 8 = 2
Combine like terms: 2x + 8 = 2
[Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6
[Division Property of Equality] Divide 2 on both sides: x = -3

Step 3: Solve for y

Substitute in x [1st Equation]: y = -3 + 8
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