Finding the value of the exponent( 3)^2×( 5)^2=( 3)× ( 3)× ( 5)× ( 5)( 3)^2×( 5)^2=9× 25( 3)^2×( 5)^2=225Hence, the value of ( 3)^2×( 5)^2 is 225. ...

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Standard VII

Mathematics

Exponent of a Product

Simplify :vii...

Question

Simplify :
(vii) ${(- 3)}^{2} \times {(- 5)}^{2}$

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Solution

Finding the value of the exponent
${(- 3)}^{2} \times {(- 5)}^{2} = (- 3) \times (- 3) \times (- 5) \times (- 5)$
${(- 3)}^{2} \times {(- 5)}^{2} = 9 \times 25$
${(- 3)}^{2} \times {(- 5)}^{2} = 225$
Hence, the value of ${(- 3)}^{2} \times {(- 5)}^{2}$ is $225$ .

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Similar questions

Q. Simplify by rationalizing the denominator

(i)

\frac{4}{\sqrt{7} + \sqrt{3}}

(ii)

\frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}}

(iii)

\frac{5 + 3 \sqrt{2}}{5 - 3 \sqrt{2}}

(iv)

\frac{2 \sqrt{3} - \sqrt{2}}{2 \sqrt{2} + 3 \sqrt{3}}

(v)

\frac{7 \sqrt{3} - 5 \sqrt{2}}{\sqrt{48} + \sqrt{18}}

(vi)

\frac{x + 9}{\sqrt{x + 9}}

(vii)

\frac{1}{{(3 + \sqrt{5})}^{2}} + \frac{1}{{(3 - \sqrt{5})}^{2}}

Question 4(ii)
Simplify:
$(2 x + 5)^{2} - (2 x - 5)^{2}$

Q. Simplify:

{(- 3)}^{2} \times {(- 5)}^{2}

Q. Simplify:

(4) 52 × 1

Simplify:

(i) 2 × 10³ (ii) 7² × 2²

(iii) 2³ × 5 (iv) 3× 4⁴

(v) 0 × 10² (vi) 5² × 3³

(vii) 2⁴× 3² (viii) 3² × 10⁴

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Simplify :(vii) (-3)2×(-5)2

Finding the value of the exponent(-3)2×(-5)2=(-3)×(-3)×(-5)×(-5)(-3)2×(-5)2=9×25(-3)2×(-5)2=225Hence, the value of (-3)2×(-5)2 is 225.

Simplify :
(vii) ${(- 3)}^{2} \times {(- 5)}^{2}$

Finding the value of the exponent
${(- 3)}^{2} \times {(- 5)}^{2} = (- 3) \times (- 3) \times (- 5) \times (- 5)$
${(- 3)}^{2} \times {(- 5)}^{2} = 9 \times 25$
${(- 3)}^{2} \times {(- 5)}^{2} = 225$
Hence, the value of ${(- 3)}^{2} \times {(- 5)}^{2}$ is $225$ .