120k views
2 votes
What is the result of Z² * Z⁻³?

A) Z⁶
B) Z⁻¹
C) Z⁻⁶
D) Z⁵

1 Answer

4 votes

Final answer:

The result of the expression Z² * Z⁻³ is Z⁻¹, which follows the law of exponents for multiplying with the same base by adding the exponents together.

Step-by-step explanation:

The multiplication of variables with exponents in algebra follows the law of exponents which states that when multiplying two exponents with the same base, you add the exponents. So when calculating Z² * Z⁻³, you add the exponents 2 and -3, resulting in Z⁻¹.

This is because:

Z² means Z * Z (Z multiplied by itself twice).

Z⁻³ means 1/(Z * Z * Z) (the reciprocal of Z multiplied by itself three times).

Multiplying Z² by Z⁻³ is the same as Z * Z * (1/(Z * Z * Z)) which simplifies to 1/Z or Z⁻¹.

User Manmal
by
7.7k points

Related questions

1 answer
5 votes
78.4k views
asked Feb 14, 2024 112k views
Manub asked Feb 14, 2024
by Manub
8.8k points
1 answer
4 votes
112k views
asked Oct 10, 2024 67.8k views
Alcott asked Oct 10, 2024
by Alcott
7.8k points
1 answer
1 vote
67.8k views