Q. 585.0( 2 Votes )

# State whether the given statements are True or False.

Answer :

According to Law of indices,

a^{m} ÷ a^{n} = a ^{(m - n)}

Here in the question,

a = 5/8

m = 9

n = 4

m – n = 9 – 4

= 5

So the statement is false.

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Simplify and express each of the following in exponential form:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

(xii)

NCERT MathematicsExpress each of the following as a product of prime factors only in exponential form:

(i) 108 × 192

(ii) 270

(iii) 729 × 64

(iv) 768

NCERT MathematicsSay true or false and justify your answer:

(i) 10 × 10^{11} = 100^{11}

(ii) 2^{3} > 5^{2}

(iii) 2^{3} × 3^{2} = 6^{5}

(iv) 3^{0} = (1000)^{0}

Find m so that

NCERT - Exemplar MathematicsIf find the value of

NCERT - Exemplar MathematicsState whether the given statements are True or False.

4^{0} + 5^{0} + 6^{0} = (4 + 5 + 6)^{0}

State whether the given statements are True or False.

x^{m} + x^{m} = x^{2m}, where x is a non-zero rational number and m is a positive integer.

State whether the given statements are True or False.

NCERT - Exemplar Mathematics

State whether the given statements are True or False.

5^{0} × 25^{0} × 125^{0} = (5^{0})^{6}