How do you write the expression $2 \cdot x \cdot x \cdot y \cdot y$ $2xxyy$ using exponents?

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How do you write the expression $2 \cdot x \cdot x \cdot y \cdot y$ $2xxyy$ using exponents?

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Answer 1 · 2017-01-09T14:13:21

$2 x^{2} y^{2}$ $2x^2y^2$

Explanation:

$An exponent$ $"An" color(blue)" exponent"$ is used whenever numeric or algebraic values are being multiplied $repeatedly .$ $color(blue)"repeatedly".$

$That is 2 \times 2 \times 2 = 2^{3} \leftarrow numeric values$ $"That is " 2xx2xx2=2^(color(red)(3))larr" numeric values"$

The exponent is $3$ $color(red)(3)$ since 2 is being multiplied by itself 3 times.

$\Rightarrow 5 \times 5 \times 5 \times 5 = 5^{4}$ $rArr5xx5xx5xx5=5^(color(red)(4))$

$and x \times x \times x = x^{3} \leftarrow algebraic values$ $"and " x xx x xx x=x^(color(red)(3))larr" algebraic values"$

$\Rightarrow 2 \times x \times x \times y \times y = 2 x^{2} y^{2}$ $rArr2xx x xx x xxyxxy=2x^2y^2$

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How do you write the expression $2 \cdot x \cdot x \cdot y \cdot y$ $2xxyy$ using exponents?

1 Answer

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How do you write the expression $2 \cdot x \cdot x \cdot y \cdot y$ $2xxyy$ using exponents?