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What is the value of [tex]\( f \)[/tex] in the equation below?

[tex]\[ 9 \times 9 \times 9 \times 9 \times 9 = 9^f \][/tex]

Sagot :

GinnyAnsweridn
Let's solve the given equality step by step for the value of [tex]\( f \)[/tex]:

We start with the equation:
[tex]\[ 9 \times 9 \times 9 \times 9 \times 9 = 9f \][/tex]

### Step 1: Calculate the left-hand side of the equation
We need to find the product of [tex]\( 9 \)[/tex] multiplied by itself five times:
[tex]\[ 9 \times 9 \times 9 \times 9 \times 9 \][/tex]

The value of this multiplication is:
[tex]\[ 59049 \][/tex]

So the equation now becomes:
[tex]\[ 59049 = 9f \][/tex]

### Step 2: Solve for [tex]\( f \)[/tex]
To find [tex]\( f \)[/tex], divide both sides of the equation by [tex]\( 9 \)[/tex]:
[tex]\[ f = \frac{59049}{9} \][/tex]

### Step 3: Perform the division
[tex]\[ \frac{59049}{9} = 6561 \][/tex]

Thus, the value of [tex]\( f \)[/tex] is:
[tex]\[ f = 6561 \][/tex]

So, the value of [tex]\( f \)[/tex] in the equality [tex]\( 9 \times 9 \times 9 \times 9 \times 9 = 9f \)[/tex] is:
[tex]\[ f = 6561 \][/tex]
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