Write in the index exponential notation-4- 4- 4- 4- 5- 5- 5

Writing in index(exponential) notation4× 4× 4× 4× 5× 5× 5=4^4×5^3 (4 is multiplied by itself 4 times and 5 is multiplied by itself 3 times)Hence, the index nota ...

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Standard V

Mathematics

Evaluating the Given Number

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Question

Write in the index (exponential) notation.
$4 \times 4 \times 4 \times 4 \times 5 \times 5 \times 5$

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Solution

Writing in index(exponential) notation
$4 \times 4 \times 4 \times 4 \times 5 \times 5 \times 5 = 4^{4} \times 5^{3}$ ( $4$ is multiplied by itself $4$ times and $5$ is multiplied by itself $3$ times)
Hence, the index notation of the given expanded form is $4^{4} \times 5^{3}$ .

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Observe the patterns and fill in the blanks:

$63 \times 10 = 63 \times 1 \times 10 = 630 \times 1$

$63 \times 20 = 63 \times 2 \times 10 = 630 \times 2$

$63 \times 30 = 63 \times 3 \times 10 = 630 \times 3$

$63 \times 40 = 63 \times 4 \times 10 =$ _____________________

$63 \times 50 = 63 \times 5 \times 10 =$ _____________________

Look at the pattern and fill in the blanks:

$5 = 4 \times 1 + 1$ , For $1^{st}$ term or $n = 1$

$9 = 4 \times 2 + 1$ , For $2^{nd}$ term or $n = 2$

$13 = 4 \times 3 + 1$ , For $3^{rd}$ term or $n = 3$

$17 = 4 \times 4 + 1$ , For $4^{th}$ term or $n = 4$

$21 = 4 \times 5 + 1$ , For $5^{th}$ term or $n = 5$

$∴$ Expression for $n^{th}$ term is $4 n + 1$ .

(i) For $n = 8$ , $4 \times____+ 1 =____$ .

State which of the following is equation conatining variable $:$

$4 \times 3 + 9 = 21$

Q. One angle is equal to 4times its supplement. The measure of the angle is?

Q. Find

\frac{x}{y}

{(\frac{3}{5})}^{- 4} \times {(\frac{15}{10})}^{- 4} = {(\frac{x}{y})}^{- 4}

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Write in the index (exponential) notation.4×4×4×4×5×5×5

Writing in index(exponential) notation4×4×4×4×5×5×5=44×53 (4 is multiplied by itself 4 times and 5 is multiplied by itself 3 times)Hence, the index notation of the given expanded form is 44×53.

Write in the index (exponential) notation.
$4 \times 4 \times 4 \times 4 \times 5 \times 5 \times 5$

Writing in index(exponential) notation
$4 \times 4 \times 4 \times 4 \times 5 \times 5 \times 5 = 4^{4} \times 5^{3}$ ( $4$ is multiplied by itself $4$ times and $5$ is multiplied by itself $3$ times)
Hence, the index notation of the given expanded form is $4^{4} \times 5^{3}$ .