222k views
2 votes
Select all of the expressions that are equivalent to 2.5¹⁶

2.5⁴ ⋅ 2.5⁴

1.25¹⁶ ⋅ 2¹⁶

2.5⁸ ⋅ 2.5⁸

(2.5⁸)⁸

(2.5⁸)²

User Jenski
by
7.7k points

1 Answer

5 votes

Answer:

  • 1.25¹⁶ ⋅ 2¹⁶
  • 2.5⁸ ⋅ 2.5⁸
  • (2.5⁸)²

Explanation:

You have a number of expressions involving exponents, and you want those equivalent to 2.5¹⁶.

Rules of exponents

The relevant rules of exponents are ...

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

(a^b)^c = a^(bc)

(ab)^c = (a^c)(b^c)

Given expressions

Then the simplified form of the given expressions will be ...

2.5⁴ ⋅ 2.5⁴ = 2.5⁸ . . . . exponents are added

1.25¹⁶ ⋅ 2¹⁶ = (1.25 · 2)¹⁶ = 2.5¹⁶ . . . . exponent is distributed

2.5⁸ ⋅ 2.5⁸ = 2.5¹⁶ . . . . exponents are added

(2.5⁸)⁸ = 2.5⁶⁴ . . . . exponents are multiplied

(2.5⁸)² = 2.5¹⁶ . . . . exponents are multiplied

The equivalent expressions are shown in bold, above.

User Sunmi
by
8.4k points

Related questions

asked Aug 12, 2022 65.6k views
Zhuoyun Wei asked Aug 12, 2022
by Zhuoyun Wei
7.9k points
1 answer
24 votes
65.6k views
asked May 18, 2021 224k views
Salahudin asked May 18, 2021
by Salahudin
8.6k points
1 answer
1 vote
224k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.