Question

25 raised to the power 4 ÷ 5 raised to the power 3​

Answer 1

Answer ⤵️

• Exponents are used to express large numbers in shorter form to

make them easy to read, understand, compare and operate upon.

• a × a × a × a = a4 (read as ‘a’ raised to the exponent 4 or the fourth

power of a), where ‘a’ is the base and 4 is the exponent and a4 is

called the exponential form. a × a × a × a is called the expanded

form.

• For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

(i) am × an = am+n

(ii) am ÷ an = am–n , m>n

(iii) (am)

n = amn

(iv) am × bm = (ab)

m

(v) am ÷ bm =

m

a

b

     

(vi) a0 = 1

(vii) (–1)even number = 1

(viii) (–1)odd number = –1

• Any number can be expressed as a decimal number between 1.0

and 10.0 (including 1.0) multiplied by a power of 10. Such form of a

number is called its standard form or scientific notation.

Answer 2

$\huge\boxed{\underbrace{\mathbb{\red{A}\green{n}\color{teal}{s}\orange{w}\blue{e}\pink{r:–}}}}$

$\implies {25}^{4} \div {5}^{3}$

$\implies 25 \times 25 \times 25 \times 25 \div 5 \times 5 \times 5$

$\implies \frac{25 \times 25 \times 25 \times 25}{5 \times 5 \times 5}$

$\implies \frac{25 \times \cancel{25} \times \cancel{25} \times \cancel{25}}{\cancel{5} \times \cancel{5} \times \cancel{5}}$

$\implies 25 \times 5 \times 5 \times 5$

$\implies 25 \times 25 \times 5$

$\implies 25 \times 125$

$\implies 625$

HØPÈ ÏT HÊLPS ♠♦♠