Question

low exponent (⅞)²×(⅞)³​

Answer 1

(7/8)²×(7/8)³

=(7/8)²+³

=(7/8)⁵

=16807/32768

here your answer

thank you

Answer 2

Question

Apply laws of exponents and solve ⇒ $(\frac{7}{8})^{2} \times (\frac{7}{8})^{3}$

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Answer

To solve this we must apply laws of exponents.

Here will apply this law first. We will apply this law first since the bases are same and exponents are different. In this law we add the exponents if the base is equal and for the answer we let the base be the same and add the exponents. To understand it better here it is in numeral form explanation. ⇒ $a^{m}\times a^{n} = a^{m+n}$

$(\frac{7}{8})^{2} \times (\frac{7}{8})^{3}$

$(\frac{7}{8})^{2+3}$

$(\frac{7}{8})^{5}$

Now we will substitute the value of the exponent.

$(\frac{7}{8})^{5}$

$\frac{7}{8} \times\frac{7}{8} \times\frac{7}{8} \times\frac{7}{8} \times\frac{7}{8}$

$\frac{16807}{32768}$

$\bf \therefore (\frac{7}{8})^{2} \times (\frac{7}{8})^{3} = (\frac{7}{8})^{5} =\frac{16807}{32768}$

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Additional Information

Exponent, also known as power, is a quantity that represents the power to which a given number is to be raised. For example 6². Here the exponent is '2' and it tells us that we shall multiply '6' which is the base how many times to itself.

We pronounce this exponent as 6 square or 6 raised to the power 2. Here square is only used when the power is 2.

Since exponents is a new concept we also have laws in it. The laws of exponents help us to solve an expression faster. These laws are ⇒

⇒ $a^{m}\times a^{n}=a^{m+n}$

⇒ $a^{m}\div a^{n}=a^{m-n}$

⇒ $a^{m}\times b^{m} = (ab)^{m}$

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

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

⇒ $(a^{m})^{n} = a^{m\times n}$

⇒ $a^{0}=1$

⇒ $a^{-m}=\frac{1}{a^{m}}$

⇒ $a^{\frac{x}{y} } = \sqrt[y]{a^{x}}$

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