The expression equivalent to (3x²z⁻³)² is 9x⁴z⁻⁶.
What is meant by the term indices/index?
- In mathematics, an index (indices) is indeed the power or exponent raised to a number or variable.
- A constant is a value that cannot be altered. An index can be assigned to a number or a variable.
- A variable's index (or constant) is a value raised to a power of the variable. The indices are also referred to as powers or exponents.
For the given question;
The expression is given as;
= (3x²z⁻³)²
Squaring each term individually.
= (3)²(x²)²(z⁻³)²
As the property of the index, the power will be multiplied.
= 9x⁴z⁻⁶.
Thus, the expression equivalent obtained for the given expression (3x²z⁻³)² is 9x⁴z⁻⁶.
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