Question

write in exponential notation 3×3×(-7)×(-7)×5×5×5​

Answer 1

Question

Write in exponential notation ⇒ 3×3×(-7)×(-7)×5×5×5

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Answer

To write anything in exponential notation means we need to represent the numbers in exponential form. Since all numbers are prime numbers in the given question we don't need to convert it further in it's simplest form. Since the numbers are in simplest form we can express it in exponential form now.

3 × 3 × (-7) × (-7) × 5 × 5 × 5

3² × (-7)² × 5³

We no longer can simplify to convert it in exponential form so,

∴ 3 × 3 × (-7) × (-7) × 5 × 5 × 5  in exponential form is ⇒ 3² × (-7)² × 5³.

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Additional Information

Exponent are also known as power. They are used to represent large values in short form. Like if we keep multiply 2 to itself about 11 times, we take a long time to type it like this ⇒ 2×2×2×2×2×2×2×2×2×2×2. So instead of this long thing we have exponents that helps us to represent these types of things in an easier way. So, 2×2×2×2×2×2×2×2×2×2×2 can be represented as 2¹¹ in exponential form. Here 2 is the base which need to be multiplied to itself and the exponent tells us how many times we shall multiply the base number.

So an exponential number always has two parts. The base and the power. They are represented something like this ⇒ $\sf Base^{Power}$

We have some laws in exponents to make things easier. They are listed below.

⇒ $a^{m}\times a^{n} =a^{m+n}$

⇒  $a^{m}\div a^{n}=a^{m-n}$

⇒  $a^{m} \times b^{m} = (ab)^{m}$

⇒  $a^{m} \div b^{m} = (\frac{a}{b} )^{m}$

⇒  $(a^{m})^{n}=a^{m\times n}$

⇒  $(\frac{a}{b})^{m} = \frac{a^{m}}{b^{m}}$

⇒  $a^{0}=1$

⇒  $a^{-m} = \frac{1}{a^{m}}$

⇒  $a^{\frac{x}{y} }=\sqrt[y]{a^{x}}$

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