How can I write 9· 9 in a condensed form? _
The correct answer and explanation is:
The condensed form of 9⋅99 \cdot 9 is 929^2.
Explanation:
In mathematics, exponents or powers are a shorthand way of expressing repeated multiplication of the same number. When you see an expression like 9⋅99 \cdot 9, it means that 9 is being multiplied by itself once. Rather than writing this out multiple times, exponents provide a more efficient representation.
The base number (9 in this case) is written, followed by a small number called the exponent (2 here). This tells you how many times to multiply the base number by itself. So 929^2 is read as “9 squared,” and it represents the same operation as multiplying 9 by 9.
Using exponents simplifies expressions and makes them easier to work with, especially when dealing with larger numbers or more complicated equations. For example, instead of writing 7⋅7⋅7⋅77 \cdot 7 \cdot 7 \cdot 7, you can simply write 747^4. The exponent tells you exactly how many times the base is repeated in the multiplication.
This notation is not limited to just whole numbers. It can also be used for fractions, negative numbers, and even decimals. For instance, 2.532.5^3 would mean multiplying 2.5 by itself three times, which equals 2.5⋅2.5⋅2.5=15.6252.5 \cdot 2.5 \cdot 2.5 = 15.625.
The exponent form provides a powerful tool for expressing large numbers in a more concise manner and is used extensively across all branches of mathematics, from basic arithmetic to advanced calculus and beyond.