Answer :
Sure! Let's break down the problem step-by-step:
We are asked to simplify the expression [tex]\(9^3 \times 9^2\)[/tex] into exponential form.
Step 1: Understanding Exponents
First, let's recall a basic property of exponents: when you multiply expressions with the same base, you add the exponents. This property is expressed as:
[tex]\[ a^m \times a^n = a^{m+n} \][/tex]
In this case, the base [tex]\(a\)[/tex] is 9, and we have two exponents: 3 and 2.
Step 2: Apply the Exponent Rule
Now, let's apply this rule to our expression:
[tex]\[ 9^3 \times 9^2 = 9^{3+2} \][/tex]
Step 3: Calculate the Sum of the Exponents
Add the exponents together:
[tex]\[ 3 + 2 = 5 \][/tex]
Step 4: Write the Simplified Expression
So, the expression [tex]\(9^3 \times 9^2\)[/tex] can be simplified to:
[tex]\[ 9^5 \][/tex]
Therefore, the expression in exponential form is [tex]\(9^5\)[/tex].
We are asked to simplify the expression [tex]\(9^3 \times 9^2\)[/tex] into exponential form.
Step 1: Understanding Exponents
First, let's recall a basic property of exponents: when you multiply expressions with the same base, you add the exponents. This property is expressed as:
[tex]\[ a^m \times a^n = a^{m+n} \][/tex]
In this case, the base [tex]\(a\)[/tex] is 9, and we have two exponents: 3 and 2.
Step 2: Apply the Exponent Rule
Now, let's apply this rule to our expression:
[tex]\[ 9^3 \times 9^2 = 9^{3+2} \][/tex]
Step 3: Calculate the Sum of the Exponents
Add the exponents together:
[tex]\[ 3 + 2 = 5 \][/tex]
Step 4: Write the Simplified Expression
So, the expression [tex]\(9^3 \times 9^2\)[/tex] can be simplified to:
[tex]\[ 9^5 \][/tex]
Therefore, the expression in exponential form is [tex]\(9^5\)[/tex].
