Help me solve this10 elves each made 10 xylophones. Each xylophone had 10 keys. They did this for 10 days.How many keys were made by the elves? Show in exponential form and solve.

The solution is 10⁴ keys

The number of keys made by the elves is given by the equation A = 10⁴

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A = number of keys made by the elves

Let the number of elves = 10 elves

Let the number of xylophones made by each elves = 10 xylophones

So ,

The number of xylophones made by 10 elves = 10 x number of xylophones made by each elves

The number of xylophones made by 10 elves = 10 x 10

The number of xylophones made by 10 elves = 10²

Now ,

Let the number of keys for each xylophones = 10 keys

So ,

The number of keys for 10² xylophones = 10 x number of keys for each xylophones

The number of keys for 10² xylophones = 10² x 10

The number of keys for 10² xylophones = 10³ keys

Now ,

The total number of days = 10 days

So ,

The total number of keys A = The number of keys for 10² xylophones x The total number of days

Substituting the values in the equation , we get

The total number of keys A = 10³ x 10

On simplifying the equation , we get

The total number of keys A = 10⁴ keys

Therefore , the value of A is 10⁴ keys

Hence , the number of keys is 10⁴ keys

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